# Algebra Examples

,
Step 1
Multiply each equation by the value that makes the coefficients of opposite.
Step 2
Simplify.
Step 2.1
Simplify the left side.
Step 2.1.1
Simplify .
Step 2.1.1.1
Apply the distributive property.
Step 2.1.1.2
Multiply by .
Step 2.2
Simplify the right side.
Step 2.2.1
Multiply by .
Step 3
Add the two equations together to eliminate from the system.
Step 4
Since , the equations intersect at an infinite number of points.
Infinite number of solutions
Step 5
Solve one of the equations for .
Step 5.1
Add to both sides of the equation.
Step 5.2
Divide each term in by and simplify.
Step 5.2.1
Divide each term in by .
Step 5.2.2
Simplify the left side.
Step 5.2.2.1
Cancel the common factor of .
Step 5.2.2.1.1
Cancel the common factor.
Step 5.2.2.1.2
Divide by .
Step 5.2.3
Simplify the right side.
Step 5.2.3.1
Simplify each term.
Step 5.2.3.1.1
Divide by .
Step 5.2.3.1.2
Cancel the common factor of and .
Step 5.2.3.1.2.1
Factor out of .
Step 5.2.3.1.2.2
Cancel the common factors.
Step 5.2.3.1.2.2.1
Factor out of .
Step 5.2.3.1.2.2.2
Cancel the common factor.
Step 5.2.3.1.2.2.3
Rewrite the expression.
Step 5.2.3.1.3
Move the negative in front of the fraction.
Step 6
The solution is the set of ordered pairs that make true.
Step 7
The result can be shown in multiple forms.
Point Form:
Equation Form:
Step 8