# Solve by Substitution y=3x+5 , y=-x+3 ,
Eliminate the equal sides of each equation and combine.
Solve for .
Move all terms containing to the left side of the equation.
Add to both sides of the equation.
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 .
Simplify .
Cancel the common factor of and .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Move the negative in front of the fraction.
Evaluate when .
Substitute for .
Substitute for in and solve for .
Multiply by .
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 .
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 y=3x+5 , y=-x+3     