# Solve in Terms of the Arbitrary Variable z 2x+y-z=4 , -x+y+3z=1 ,
Solve the equation for .
Move all terms not containing to the right side of the equation.
Subtract from both sides of the equation.
Add to 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 .
Simplify each term.
Divide by .
Move the negative in front of the fraction.
Solve the equation for .
Factor the equation.
Apply the distributive property.
Simplify.
Multiply by .
Multiply .
Multiply by .
Multiply by .
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
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.
Rewrite in a factored form.
Multiply by .
Multiply by .
Move to the left of .
Multiply by .
Solve the equation.
Multiply both sides of the equation by .
Remove parentheses.
Multiply by .
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 .
Simplify each term.
Divide by .
Move the negative in front of the fraction.
Simplify .
Find the common denominator.
Write as a fraction with denominator .
Multiply by .
Multiply and .
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
Apply the distributive property.
Multiply by .
Multiply .
Multiply by .
Multiply by .
Subtract from .
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Reorder terms.
Rewrite in a factored form.
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Multiply the numerator by the reciprocal of the denominator.
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Reorder and .
Solve in Terms of the Arbitrary Variable z 2x+y-z=4 , -x+y+3z=1

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