# Solve by Substitution -x+3y+z=3 , x-y+2z=0 , 3x-5y+2z=-2

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Solve for in the first equation.
Move all terms not containing to the right side of the equation.
Subtract from both sides of the equation.
Subtract from both sides of the equation.
Multiply each term in by
Multiply each term in by .
Multiply .
Multiply by .
Multiply by .
Simplify each term.
Multiply by .
Multiply by .
Multiply .
Multiply by .
Multiply by .
Replace all occurrences of with in each equation.
Replace all occurrences of in with .
Simplify .
Subtract from .
Replace all occurrences of in with .
Simplify .
Simplify each term.
Apply the distributive property.
Simplify.
Multiply by .
Multiply by .
Subtract from .
Solve for in the first equation.
Move all terms not containing to the right side of the equation.
Add to both sides of the equation.
Subtract from both sides of the equation.
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Move the negative in front of the fraction.
Replace all occurrences of with in each equation.
Replace all occurrences of in with .
Simplify .
Simplify each term.
Apply the distributive property.
Cancel the common factor of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
Move the leading negative in into the numerator.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Move the negative in front of the fraction.
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by .
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Combine the numerators over the common denominator.
Multiply by .
Replace all occurrences of in with .
Simplify .
Simplify each term.
Apply the distributive property.
Multiply .
Combine and .
Multiply by .
Multiply .
Multiply by .
Combine and .
Multiply by .
Move the negative in front of the fraction.
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by .
To write as a fraction with a common denominator, multiply by .
Simplify terms.
Combine and .
Combine the numerators over the common denominator.
Combine the numerators over the common denominator.
Move to the left of .
Solve for in the second equation.
Set the numerator equal to zero.
Subtract from both sides of the equation.
Replace all occurrences of with in each equation.
Replace all occurrences of in with .
Simplify .
Simplify the numerator.
Multiply by .
Divide by .
Replace all occurrences of in with .
Simplify .
Combine the numerators over the common denominator.
Simplify the expression.
Multiply by .