Solve in Terms of the Arbitrary Variable z 2x+y-z=4 , -x+y+3z=1

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Solve the equation for .
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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.
Add to both sides of the equation.
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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Divide by .
Move the negative in front of the fraction.
Solve the equation for .
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Factor the equation.
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Apply the distributive property.
Simplify.
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Multiply by .
Multiply .
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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.
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Multiply by .
Multiply by .
Move to the left of .
Multiply by .
Add and .
Add and .
Solve the equation.
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Multiply both sides of the equation by .
Remove parentheses.
Multiply by .
Move all terms not containing to the right side of the equation.
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Add to both sides of the equation.
Subtract from both sides of the equation.
Add and .
Divide each term by and simplify.
Tap for more steps…
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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Divide by .
Move the negative in front of the fraction.
Simplify .
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Find the common denominator.
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Write as a fraction with denominator .
Multiply by .
Multiply and .
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
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Apply the distributive property.
Multiply by .
Multiply .
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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.
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Add and .
Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Multiply the numerator by the reciprocal of the denominator.
Cancel the common factor of .
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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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