# Solve by Substitution 8x-y=31 5x+3y=23 Solve for in the first equation.
Subtract from both sides of the equation.
Multiply each term in by
Multiply each term in by .
Multiply .
Multiply by .
Multiply by .
Simplify each term.
Multiply by .
Multiply by .
Replace all occurrences of with in each equation.
Replace all occurrences of in with .
Simplify .
Simplify each term.
Apply the distributive property.
Multiply by .
Multiply by .
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 .
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:
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