Solve by Substitution 2x-y+z=-3 , 2x+2y+3z=2 , 3x-3y-z=-4

$2 x - y + z = - 3$ , $2 x + 2 y + 3 z = 2$ , $3 x - 3 y - z = - 4$

Solve for $y$ in the first equation.

Tap for more steps…

Move all terms not containing $y$ to the right side of the equation.

Tap for more steps…

Subtract $2 x$ from both sides of the equation.

$- y + z = - 3 - 2 x$

$2 x + 2 y + 3 z = 2$

$3 x - 3 y - z = - 4$

Subtract $z$ from both sides of the equation.

$- y = - 3 - 2 x - z$

$2 x + 2 y + 3 z = 2$

$3 x - 3 y - z = - 4$

$- y = - 3 - 2 x - z$

$2 x + 2 y + 3 z = 2$

$3 x - 3 y - z = - 4$

Multiply each term in $- y = - 3 - 2 x - z$ by $- 1$

Tap for more steps…

Multiply each term in $- y = - 3 - 2 x - z$ by $- 1$ .

$(- y) \cdot - 1 = (- 3) \cdot - 1 + (- 2 x) \cdot - 1 + (- z) \cdot - 1$

$2 x + 2 y + 3 z = 2$

$3 x - 3 y - z = - 4$

Multiply $(- y) \cdot - 1$ .

Tap for more steps…

Multiply $- 1$ by $- 1$ .

$1 y = (- 3) \cdot - 1 + (- 2 x) \cdot - 1 + (- z) \cdot - 1$

$2 x + 2 y + 3 z = 2$

$3 x - 3 y - z = - 4$

Multiply $y$ by $1$ .

$y = (- 3) \cdot - 1 + (- 2 x) \cdot - 1 + (- z) \cdot - 1$

$2 x + 2 y + 3 z = 2$

$3 x - 3 y - z = - 4$

$y = (- 3) \cdot - 1 + (- 2 x) \cdot - 1 + (- z) \cdot - 1$

$2 x + 2 y + 3 z = 2$

$3 x - 3 y - z = - 4$

Simplify each term.

Tap for more steps…

Multiply $- 3$ by $- 1$ .

$y = 3 + (- 2 x) \cdot - 1 + (- z) \cdot - 1$

$2 x + 2 y + 3 z = 2$

$3 x - 3 y - z = - 4$

Multiply $- 1$ by $- 2$ .

$y = 3 + 2 x + (- z) \cdot - 1$

$2 x + 2 y + 3 z = 2$

$3 x - 3 y - z = - 4$

Multiply $(- z) \cdot - 1$ .

Tap for more steps…

Multiply $- 1$ by $- 1$ .

$y = 3 + 2 x + 1 z$

$2 x + 2 y + 3 z = 2$

$3 x - 3 y - z = - 4$

Multiply $z$ by $1$ .

$y = 3 + 2 x + z$

$2 x + 2 y + 3 z = 2$

$3 x - 3 y - z = - 4$

$y = 3 + 2 x + z$

$2 x + 2 y + 3 z = 2$

$3 x - 3 y - z = - 4$

$y = 3 + 2 x + z$

$2 x + 2 y + 3 z = 2$

$3 x - 3 y - z = - 4$

$y = 3 + 2 x + z$

$2 x + 2 y + 3 z = 2$

$3 x - 3 y - z = - 4$

$y = 3 + 2 x + z$

$2 x + 2 y + 3 z = 2$

$3 x - 3 y - z = - 4$

Replace all occurrences of $y$ with $3 + 2 x + z$ in each equation.

Tap for more steps…

Replace all occurrences of $y$ in $2 x + 2 y + 3 z = 2$ with $3 + 2 x + z$ .

$2 x + 2 (3 + 2 x + z) + 3 z = 2$

$y = 3 + 2 x + z$

$3 x - 3 y - z = - 4$

Simplify $2 x + 2 (3 + 2 x + z) + 3 z$ .

Tap for more steps…

Simplify each term.

Tap for more steps…

Apply the distributive property.

$2 x + 2 \cdot 3 + 2 (2 x) + 2 z + 3 z = 2$

$y = 3 + 2 x + z$

$3 x - 3 y - z = - 4$

Simplify.

Tap for more steps…

Multiply $2$ by $3$ .

$2 x + 6 + 2 (2 x) + 2 z + 3 z = 2$

$y = 3 + 2 x + z$

$3 x - 3 y - z = - 4$

Multiply $2$ by $2$ .

$2 x + 6 + 4 x + 2 z + 3 z = 2$

$y = 3 + 2 x + z$

$3 x - 3 y - z = - 4$

$2 x + 6 + 4 x + 2 z + 3 z = 2$

$y = 3 + 2 x + z$

$3 x - 3 y - z = - 4$

$2 x + 6 + 4 x + 2 z + 3 z = 2$

$y = 3 + 2 x + z$

$3 x - 3 y - z = - 4$

Simplify by adding terms.

Tap for more steps…

Add $2 x$ and $4 x$ .

$6 x + 6 + 2 z + 3 z = 2$

$y = 3 + 2 x + z$

$3 x - 3 y - z = - 4$

Add $2 z$ and $3 z$ .

$6 x + 6 + 5 z = 2$

$y = 3 + 2 x + z$

$3 x - 3 y - z = - 4$

$6 x + 6 + 5 z = 2$

$y = 3 + 2 x + z$

$3 x - 3 y - z = - 4$

$6 x + 6 + 5 z = 2$

$y = 3 + 2 x + z$

$3 x - 3 y - z = - 4$

Replace all occurrences of $y$ in $3 x - 3 y - z = - 4$ with $3 + 2 x + z$ .

$3 x - 3 (3 + 2 x + z) - z = - 4$

$6 x + 6 + 5 z = 2$

$y = 3 + 2 x + z$

Simplify $3 x - 3 (3 + 2 x + z) - z$ .

Tap for more steps…

Simplify each term.

Tap for more steps…

Apply the distributive property.

$3 x - 3 \cdot 3 - 3 (2 x) - 3 z - z = - 4$

$6 x + 6 + 5 z = 2$

$y = 3 + 2 x + z$

Simplify.

Tap for more steps…

Multiply $- 3$ by $3$ .

$3 x - 9 - 3 (2 x) - 3 z - z = - 4$

$6 x + 6 + 5 z = 2$

$y = 3 + 2 x + z$

Multiply $2$ by $- 3$ .

$3 x - 9 - 6 x - 3 z - z = - 4$

$6 x + 6 + 5 z = 2$

$y = 3 + 2 x + z$

$3 x - 9 - 6 x - 3 z - z = - 4$

$6 x + 6 + 5 z = 2$

$y = 3 + 2 x + z$

$3 x - 9 - 6 x - 3 z - z = - 4$

$6 x + 6 + 5 z = 2$

$y = 3 + 2 x + z$

Simplify by adding terms.

Tap for more steps…

Subtract $6 x$ from $3 x$ .

$- 3 x - 9 - 3 z - z = - 4$

$6 x + 6 + 5 z = 2$

$y = 3 + 2 x + z$

Subtract $z$ from $- 3 z$ .

$- 3 x - 9 - 4 z = - 4$

$6 x + 6 + 5 z = 2$

$y = 3 + 2 x + z$

$- 3 x - 9 - 4 z = - 4$

$6 x + 6 + 5 z = 2$

$y = 3 + 2 x + z$

$- 3 x - 9 - 4 z = - 4$

$6 x + 6 + 5 z = 2$

$y = 3 + 2 x + z$

$- 3 x - 9 - 4 z = - 4$

$6 x + 6 + 5 z = 2$

$y = 3 + 2 x + z$

Solve for $x$ in the first equation.

Tap for more steps…

Move all terms not containing $x$ to the right side of the equation.

Tap for more steps…

Add $9$ to both sides of the equation.

$- 3 x - 4 z = - 4 + 9$

$6 x + 6 + 5 z = 2$

$y = 3 + 2 x + z$

Add $4 z$ to both sides of the equation.

$- 3 x = - 4 + 9 + 4 z$

$6 x + 6 + 5 z = 2$

$y = 3 + 2 x + z$

Add $- 4$ and $9$ .

$- 3 x = 5 + 4 z$

$6 x + 6 + 5 z = 2$

$y = 3 + 2 x + z$

$- 3 x = 5 + 4 z$

$6 x + 6 + 5 z = 2$

$y = 3 + 2 x + z$

Divide each term by $- 3$ and simplify.

Tap for more steps…

Divide each term in $- 3 x = 5 + 4 z$ by $- 3$ .

$\frac{- 3 x}{- 3} = \frac{5}{- 3} + \frac{4 z}{- 3}$

$6 x + 6 + 5 z = 2$

$y = 3 + 2 x + z$

Cancel the common factor of $- 3$ .

Tap for more steps…

Cancel the common factor.

$\frac{- 3 x}{- 3} = \frac{5}{- 3} + \frac{4 z}{- 3}$

$6 x + 6 + 5 z = 2$

$y = 3 + 2 x + z$

Divide $x$ by $1$ .

$x = \frac{5}{- 3} + \frac{4 z}{- 3}$

$6 x + 6 + 5 z = 2$

$y = 3 + 2 x + z$

$x = \frac{5}{- 3} + \frac{4 z}{- 3}$

$6 x + 6 + 5 z = 2$

$y = 3 + 2 x + z$

Simplify each term.

Tap for more steps…

Move the negative in front of the fraction.

$x = - \frac{5}{3} + \frac{4 z}{- 3}$

$6 x + 6 + 5 z = 2$

$y = 3 + 2 x + z$

Move the negative in front of the fraction.

$x = - \frac{5}{3} - \frac{4 z}{3}$

$6 x + 6 + 5 z = 2$

$y = 3 + 2 x + z$

$x = - \frac{5}{3} - \frac{4 z}{3}$

$6 x + 6 + 5 z = 2$

$y = 3 + 2 x + z$

$x = - \frac{5}{3} - \frac{4 z}{3}$

$6 x + 6 + 5 z = 2$

$y = 3 + 2 x + z$

$x = - \frac{5}{3} - \frac{4 z}{3}$

$6 x + 6 + 5 z = 2$

$y = 3 + 2 x + z$

Replace all occurrences of $x$ with $- \frac{5}{3} - \frac{4 z}{3}$ in each equation.

Tap for more steps…

Replace all occurrences of $x$ in $6 x + 6 + 5 z = 2$ with $- \frac{5}{3} - \frac{4 z}{3}$ .

$6 (- \frac{5}{3} - \frac{4 z}{3}) + 6 + 5 z = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

$y = 3 + 2 x + z$

Simplify $6 (- \frac{5}{3} - \frac{4 z}{3}) + 6 + 5 z$ .

Tap for more steps…

Simplify each term.

Tap for more steps…

Apply the distributive property.

$6 (- \frac{5}{3}) + 6 (- \frac{4 z}{3}) + 6 + 5 z = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

$y = 3 + 2 x + z$

Cancel the common factor of $3$ .

Tap for more steps…

Move the leading negative in $- \frac{5}{3}$ into the numerator.

$6 (\frac{- 5}{3}) + 6 (- \frac{4 z}{3}) + 6 + 5 z = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

$y = 3 + 2 x + z$

Factor $3$ out of $6$ .

$3 (2) (\frac{- 5}{3}) + 6 (- \frac{4 z}{3}) + 6 + 5 z = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

$y = 3 + 2 x + z$

Cancel the common factor.

$3 \cdot (2 (\frac{- 5}{3})) + 6 (- \frac{4 z}{3}) + 6 + 5 z = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

$y = 3 + 2 x + z$

Rewrite the expression.

$2 \cdot - 5 + 6 (- \frac{4 z}{3}) + 6 + 5 z = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

$y = 3 + 2 x + z$

$2 \cdot - 5 + 6 (- \frac{4 z}{3}) + 6 + 5 z = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

$y = 3 + 2 x + z$

Multiply $2$ by $- 5$ .

$- 10 + 6 (- \frac{4 z}{3}) + 6 + 5 z = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

$y = 3 + 2 x + z$

Cancel the common factor of $3$ .

Tap for more steps…

Move the leading negative in $- \frac{4 z}{3}$ into the numerator.

$- 10 + 6 (\frac{- 4 z}{3}) + 6 + 5 z = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

$y = 3 + 2 x + z$

Factor $3$ out of $6$ .

$- 10 + 3 (2) (\frac{- 4 z}{3}) + 6 + 5 z = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

$y = 3 + 2 x + z$

Cancel the common factor.

$- 10 + 3 \cdot (2 (\frac{- 4 z}{3})) + 6 + 5 z = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

$y = 3 + 2 x + z$

Rewrite the expression.

$- 10 + 2 (- 4 z) + 6 + 5 z = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

$y = 3 + 2 x + z$

$- 10 + 2 (- 4 z) + 6 + 5 z = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

$y = 3 + 2 x + z$

Multiply $- 4$ by $2$ .

$- 10 - 8 z + 6 + 5 z = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

$y = 3 + 2 x + z$

$- 10 - 8 z + 6 + 5 z = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

$y = 3 + 2 x + z$

Simplify by adding terms.

Tap for more steps…

Add $- 10$ and $6$ .

$- 8 z - 4 + 5 z = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

$y = 3 + 2 x + z$

Add $- 8 z$ and $5 z$ .

$- 3 z - 4 = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

$y = 3 + 2 x + z$

$- 3 z - 4 = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

$y = 3 + 2 x + z$

$- 3 z - 4 = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

$y = 3 + 2 x + z$

Replace all occurrences of $x$ in $y = 3 + 2 x + z$ with $- \frac{5}{3} - \frac{4 z}{3}$ .

$y = 3 + 2 (- \frac{5}{3} - \frac{4 z}{3}) + z$

$- 3 z - 4 = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

Simplify $3 + 2 (- \frac{5}{3} - \frac{4 z}{3}) + z$ .

Tap for more steps…

Simplify each term.

Tap for more steps…

Apply the distributive property.

$y = 3 + 2 (- \frac{5}{3}) + 2 (- \frac{4 z}{3}) + z$

$- 3 z - 4 = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

Multiply $2 (- \frac{5}{3})$ .

Tap for more steps…

Multiply $- 1$ by $2$ .

$y = 3 - 2 (\frac{5}{3}) + 2 (- \frac{4 z}{3}) + z$

$- 3 z - 4 = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

Combine $- 2$ and $\frac{5}{3}$ .

$y = 3 + \frac{- 2 \cdot 5}{3} + 2 (- \frac{4 z}{3}) + z$

$- 3 z - 4 = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

Multiply $- 2$ by $5$ .

$y = 3 + \frac{- 10}{3} + 2 (- \frac{4 z}{3}) + z$

$- 3 z - 4 = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

$y = 3 + \frac{- 10}{3} + 2 (- \frac{4 z}{3}) + z$

$- 3 z - 4 = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

Multiply $2 (- \frac{4 z}{3})$ .

Tap for more steps…

Multiply $- 1$ by $2$ .

$y = 3 + \frac{- 10}{3} - 2 \frac{4 z}{3} + z$

$- 3 z - 4 = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

Combine $- 2$ and $\frac{4 z}{3}$ .

$y = 3 + \frac{- 10}{3} + \frac{- 2 (4 z)}{3} + z$

$- 3 z - 4 = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

Multiply $4$ by $- 2$ .

$y = 3 + \frac{- 10}{3} + \frac{- 8 z}{3} + z$

$- 3 z - 4 = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

$y = 3 + \frac{- 10}{3} + \frac{- 8 z}{3} + z$

$- 3 z - 4 = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

Simplify each term.

Tap for more steps…

Move the negative in front of the fraction.

$y = 3 - \frac{10}{3} + \frac{- 8 z}{3} + z$

$- 3 z - 4 = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

Move the negative in front of the fraction.

$y = 3 - \frac{10}{3} - \frac{8 z}{3} + z$

$- 3 z - 4 = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

$y = 3 - \frac{10}{3} - \frac{8 z}{3} + z$

$- 3 z - 4 = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

$y = 3 - \frac{10}{3} - \frac{8 z}{3} + z$

$- 3 z - 4 = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

To write $3$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$y = 3 \cdot \frac{3}{3} - \frac{10}{3} - \frac{8 z}{3} + z$

$- 3 z - 4 = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

Combine $3$ and $\frac{3}{3}$ .

$y = \frac{3 \cdot 3}{3} - \frac{10}{3} - \frac{8 z}{3} + z$

$- 3 z - 4 = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

Combine the numerators over the common denominator.

$y = \frac{3 \cdot 3 - 10}{3} - \frac{8 z}{3} + z$

$- 3 z - 4 = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

Simplify the numerator.

Tap for more steps…

Multiply $3$ by $3$ .

$y = \frac{9 - 10}{3} - \frac{8 z}{3} + z$

$- 3 z - 4 = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

Subtract $10$ from $9$ .

$y = \frac{- 1}{3} - \frac{8 z}{3} + z$

$- 3 z - 4 = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

$y = \frac{- 1}{3} - \frac{8 z}{3} + z$

$- 3 z - 4 = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

Move the negative in front of the fraction.

$y = - \frac{1}{3} - \frac{8 z}{3} + z$

$- 3 z - 4 = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

To write $z$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$y = - \frac{1}{3} - \frac{8 z}{3} + z \cdot \frac{3}{3}$

$- 3 z - 4 = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

Simplify terms.

Tap for more steps…

Combine $z$ and $\frac{3}{3}$ .

$y = - \frac{1}{3} - \frac{8 z}{3} + \frac{z \cdot 3}{3}$

$- 3 z - 4 = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

Combine the numerators over the common denominator.

$y = - \frac{1}{3} + \frac{- 8 z + z \cdot 3}{3}$

$- 3 z - 4 = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

Combine the numerators over the common denominator.

$y = \frac{- 1 - 8 z + z \cdot 3}{3}$

$- 3 z - 4 = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

$y = \frac{- 1 - 8 z + z \cdot 3}{3}$

$- 3 z - 4 = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

Move $3$ to the left of $z$ .

$y = \frac{- 1 - 8 z + 3 z}{3}$

$- 3 z - 4 = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

Simplify terms.

Tap for more steps…

Add $- 8 z$ and $3 z$ .

$y = \frac{- 1 - 5 z}{3}$

$- 3 z - 4 = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

Rewrite $- 1$ as $- 1 (1)$ .

$y = \frac{- 1 \cdot 1 - 5 z}{3}$

$- 3 z - 4 = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

Factor $- 1$ out of $- 5 z$ .

$y = \frac{- 1 \cdot 1 - (5 z)}{3}$

$- 3 z - 4 = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

Factor $- 1$ out of $- 1 (1) - (5 z)$ .

$y = \frac{- 1 (1 + 5 z)}{3}$

$- 3 z - 4 = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

Move the negative in front of the fraction.

$y = - \frac{1 + 5 z}{3}$

$- 3 z - 4 = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

$y = - \frac{1 + 5 z}{3}$

$- 3 z - 4 = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

$y = - \frac{1 + 5 z}{3}$

$- 3 z - 4 = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

$y = - \frac{1 + 5 z}{3}$

$- 3 z - 4 = 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

Solve for $z$ in the second equation.

Tap for more steps…

Move all terms not containing $z$ to the right side of the equation.

Tap for more steps…

Add $4$ to both sides of the equation.

$- 3 z = 2 + 4$

$y = - \frac{1 + 5 z}{3}$

$x = - \frac{5}{3} - \frac{4 z}{3}$

Add $2$ and $4$ .

$- 3 z = 6$

$y = - \frac{1 + 5 z}{3}$

$x = - \frac{5}{3} - \frac{4 z}{3}$

$- 3 z = 6$

$y = - \frac{1 + 5 z}{3}$

$x = - \frac{5}{3} - \frac{4 z}{3}$

Divide each term by $- 3$ and simplify.

Tap for more steps…

Divide each term in $- 3 z = 6$ by $- 3$ .

$\frac{- 3 z}{- 3} = \frac{6}{- 3}$

$y = - \frac{1 + 5 z}{3}$

$x = - \frac{5}{3} - \frac{4 z}{3}$

Cancel the common factor of $- 3$ .

Tap for more steps…

Cancel the common factor.

$\frac{- 3 z}{- 3} = \frac{6}{- 3}$

$y = - \frac{1 + 5 z}{3}$

$x = - \frac{5}{3} - \frac{4 z}{3}$

Divide $z$ by $1$ .

$z = \frac{6}{- 3}$

$y = - \frac{1 + 5 z}{3}$

$x = - \frac{5}{3} - \frac{4 z}{3}$

$z = \frac{6}{- 3}$

$y = - \frac{1 + 5 z}{3}$

$x = - \frac{5}{3} - \frac{4 z}{3}$

Divide $6$ by $- 3$ .

$z = - 2$

$y = - \frac{1 + 5 z}{3}$

$x = - \frac{5}{3} - \frac{4 z}{3}$

$z = - 2$

$y = - \frac{1 + 5 z}{3}$

$x = - \frac{5}{3} - \frac{4 z}{3}$

$z = - 2$

$y = - \frac{1 + 5 z}{3}$

$x = - \frac{5}{3} - \frac{4 z}{3}$

Replace all occurrences of $z$ with $- 2$ in each equation.

Tap for more steps…

Replace all occurrences of $z$ in $y = - \frac{1 + 5 z}{3}$ with $- 2$ .

$y = - \frac{1 + 5 (- 2)}{3}$

$z = - 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

Simplify $- \frac{1 + 5 (- 2)}{3}$ .

Tap for more steps…

Simplify the numerator.

Tap for more steps…

Multiply $5$ by $- 2$ .

$y = - \frac{1 - 10}{3}$

$z = - 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

Subtract $10$ from $1$ .

$y = - \frac{- 9}{3}$

$z = - 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

$y = - \frac{- 9}{3}$

$z = - 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

Simplify the expression.

Tap for more steps…

Divide $- 9$ by $3$ .

$y = 3$

$z = - 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

Multiply $- 1$ by $- 3$ .

$y = 3$

$z = - 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

$y = 3$

$z = - 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

$y = 3$

$z = - 2$

$x = - \frac{5}{3} - \frac{4 z}{3}$

Replace all occurrences of $z$ in $x = - \frac{5}{3} - \frac{4 z}{3}$ with $- 2$ .

$x = - \frac{5}{3} - \frac{4 (- 2)}{3}$

$y = 3$

$z = - 2$

Simplify $- \frac{5}{3} - \frac{4 (- 2)}{3}$ .

Tap for more steps…

Combine the numerators over the common denominator.

$x = \frac{- 5 - 4 \cdot - 2}{3}$

$y = 3$

$z = - 2$

Simplify the expression.

Tap for more steps…

Multiply $- 4$ by $- 2$ .

$x = \frac{- 5 + 8}{3}$

$y = 3$

$z = - 2$

Add $- 5$ and $8$ .

$x = \frac{3}{3}$

$y = 3$

$z = - 2$

Divide $3$ by $3$ .

$x = 1$

$y = 3$

$z = - 2$

$x = 1$

$y = 3$

$z = - 2$

$x = 1$

$y = 3$

$z = - 2$

$x = 1$

$y = 3$

$z = - 2$

The solution to the system is the complete set of ordered pairs that are valid solutions.

$(1, 3, - 2)$

The result can be shown in multiple forms.

Point Form:

$(1, 3, - 2)$

Equation Form:

$x = 1, y = 3, z = - 2$

Solve by Substitution 2x-y+z=-3 , 2x+2y+3z=2 , 3x-3y-z=-4

Download our
App from the store

Create a High Performed UI/UX Design from a Silicon Valley.

Download our App from the store

Create a High Performed UI/UX Design from a Silicon Valley.

Download our
App from the store