# Algebra Examples

Solve the System of Inequalities 6x-2y<106x+3y>=15
Solve for .
Move all terms containing to the left side of the inequality.
Subtract from both sides of the inequality.
Subtract from .
Move all terms not containing to the right side of the inequality.
Subtract from both sides of the inequality.
Subtract from .
Divide each term by and simplify.
Divide each term in by . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.
Cancel the common factor of .
Cancel the common factor.
Divide by .
Simplify .
Cancel the common factor of and .
Factor out of .
Move the negative one from the denominator of .
Simplify the expression.
Rewrite as .
Multiply by .
Solve for .
Subtract from both sides of the inequality.
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Simplify each term.
Divide by .
Move the negative in front of the fraction.
Find the intersection of and .
and