# Solve by Substitution 3x-5y+z=9 , x-3y-2z=-8 , 5x-6y+3z=15

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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.
Replace all occurrences of with in each equation.
Replace all occurrences of in with .
Replace all occurrences of in with .
Simplify each equation.
Simplify .
Simplify each term.
Apply the distributive property.
Simplify.
Multiply by .
Multiply by .
Multiply by .
Subtract from .
Simplify .
Simplify each term.
Apply the distributive property.
Simplify.
Multiply by .
Multiply by .
Multiply by .
Subtract from .
Solve for in the second equation.
Move all terms not containing to the right side of the equation.
Add to 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 .
Replace all occurrences of with in each equation.
Replace all occurrences of in with .
Replace all occurrences of in with .
Simplify each equation.
Simplify .
Simplify each term.
Apply the distributive property.
Multiply .
Combine and .
Multiply by .
Multiply .
Combine and .
Multiply by .
Simplify each term.
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.
Multiply by .
Subtract from .
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.
Simplify the numerator.
Multiply by .
Simplify with factoring out.
Factor out of .
Rewrite as .
Factor out of .
Simplify the expression.
Rewrite as .
Move the negative in front of the fraction.
Simplify .
Simplify each term.
Apply the distributive property.
Multiply .
Combine and .
Multiply by .
Multiply .
Combine and .
Multiply by .
Simplify each term.
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.
Find the common denominator.
Write as a fraction with denominator .
Multiply by .
Multiply and .
Combine fractions with similar denominators.
Simplify the expression.
Multiply by .
Multiply by .
Solve for in the third equation.
Multiply both sides of the equation by .
Remove parentheses.
Multiply by .
Move all terms not containing to the right side of the equation.
Subtract from both sides of the equation.
Subtract from .
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Divide by .
Replace all occurrences of with in each equation.
Replace all occurrences of in with .
Replace all occurrences of in with .
Simplify.
Simplify .
Simplify the numerator.
Multiply by .
Subtract from .
Simplify the expression.
Divide by .
Multiply by .
Simplify .
Multiply by .
Combine the numerators over the common denominator.
Divide by .
The solution to the system of equations can be represented as a point.
The result can be shown in multiple forms.
Point Form:
Equation Form:
Solve by Substitution 3x-5y+z=9 , x-3y-2z=-8 , 5x-6y+3z=15

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