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

Math
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Solve for in the first equation.
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Move all terms not containing to the right side of the equation.
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Subtract from both sides of the equation.
Subtract from both sides of the equation.
Multiply each term in by
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Multiply each term in by .
Multiply .
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Multiply by .
Multiply by .
Simplify each term.
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Multiply by .
Multiply by .
Multiply .
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Multiply by .
Multiply by .
Replace all occurrences of with in each equation.
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Replace all occurrences of in with .
Simplify .
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Simplify each term.
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Apply the distributive property.
Simplify.
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Multiply by .
Multiply by .
Simplify by adding terms.
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Add and .
Add and .
Replace all occurrences of in with .
Simplify .
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Simplify each term.
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Apply the distributive property.
Simplify.
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Multiply by .
Multiply by .
Simplify by adding terms.
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Subtract from .
Subtract from .
Solve for in the first equation.
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Move all terms not containing to the right side of the equation.
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Add to both sides of the equation.
Add to both sides of the equation.
Add and .
Divide each term by and simplify.
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Divide each term in by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify each term.
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Move the negative in front of the fraction.
Move the negative in front of the fraction.
Replace all occurrences of with in each equation.
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Replace all occurrences of in with .
Simplify .
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Simplify each term.
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Apply the distributive property.
Cancel the common factor of .
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Move the leading negative in into the numerator.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply by .
Cancel the common factor of .
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Move the leading negative in into the numerator.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply by .
Simplify by adding terms.
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Add and .
Add and .
Replace all occurrences of in with .
Simplify .
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Simplify each term.
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Apply the distributive property.
Multiply .
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Multiply by .
Combine and .
Multiply by .
Multiply .
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Multiply by .
Combine and .
Multiply by .
Simplify each term.
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Move the negative in front of the fraction.
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.
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Multiply by .
Subtract from .
Move the negative in front of the fraction.
To write as a fraction with a common denominator, multiply by .
Simplify terms.
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Combine and .
Combine the numerators over the common denominator.
Combine the numerators over the common denominator.
Move to the left of .
Simplify terms.
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Add and .
Rewrite as .
Factor out of .
Factor out of .
Move the negative in front of the fraction.
Solve for in the second equation.
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Move all terms not containing to the right side of the equation.
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Add to both sides of the equation.
Add and .
Divide each term by and simplify.
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Divide each term in by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Divide by .
Replace all occurrences of with in each equation.
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Replace all occurrences of in with .
Simplify .
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Simplify the numerator.
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Multiply by .
Subtract from .
Simplify the expression.
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Divide by .
Multiply by .
Replace all occurrences of in with .
Simplify .
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Combine the numerators over the common denominator.
Simplify the expression.
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Multiply by .
Add and .
Divide by .
The solution to the system is the complete set of ordered pairs that are valid solutions.
The result can be shown in multiple forms.
Point Form:
Equation Form:
Solve by Substitution 2x-y+z=-3 , 2x+2y+3z=2 , 3x-3y-z=-4

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