# Solve by Substitution x+5z=-6+x , 3x+3y=10+z , x+3y+2z=5 , ,
Move all terms in to the left side and simplify.
Move all the expressions to the left side of the equation.
Move to the left side of the equation by adding it to both sides.
Move to the left side of the equation by subtracting it from both sides.
Combine the opposite terms in .
Subtract from .
Solve for in the first 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 .
Replace all occurrences of in with .
Simplify.
Simplify each term.
Multiply .
Multiply by .
Combine and .
Multiply by .
Move the negative in front of the fraction.
Remove parentheses.
Simplify .
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 .
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.
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 .
Replace all occurrences of in with .
Simplify .
Simplify each term.
Apply the distributive property.
Multiply by .
Multiply .
Combine and .
Multiply by .
Solve for in the third equation.
Move all terms not containing to the right side of the equation.
Subtract from both sides of the equation.
Combine the numerators over the common denominator.
Subtract from .
Move the negative in front of the fraction.
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Multiply .
Multiply by .
Multiply by .
Multiply and .
Multiply by .
Replace all occurrences of in with .
Simplify .
Simplify each term.
Cancel the common factor of .
Factor out of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Rewrite as .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Multiply and .
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply 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 x+5z=-6+x , 3x+3y=10+z , x+3y+2z=5

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