# Solve by Substitution x-y-2z=4 , -x+2y+z=1 , -x+y-3z=11

, ,
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.
Replace all occurrences of with in each equation.
Replace all occurrences of in with .
Simplify .
Simplify each term.
Apply the distributive property.
Simplify.
Multiply by .
Multiply by .
Replace all occurrences of in with .
Simplify .
Simplify each term.
Apply the distributive property.
Simplify.
Multiply by .
Multiply by .
Combine the opposite terms in .
Subtract from .
Solve for in the first equation.
Move all terms not containing to the right side 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 .
Divide by .
Replace all occurrences of with in each equation.
Replace all occurrences of in with .
Simplify .
Multiply by .
Replace all occurrences of in with .
Simplify .
Multiply by .
Subtract from .
Move all terms not containing to the right side of the equation.
Add to both sides of the equation.
Replace all occurrences of with in each equation.
Replace all occurrences of in with .
Subtract from .
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 x-y-2z=4 , -x+2y+z=1 , -x+y-3z=11