# Solve the System of Inequalities 5x-9y>=8 7x-4y<10

Solve the System of Inequalities 5x-9y>=8 7x-4y<10
Solve for .
Subtract from both sides of the inequality.
Divide each term in 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.
Simplify the left side.
Cancel the common factor of .
Cancel the common factor.
Divide by .
Simplify the right side.
Simplify each term.
Move the negative in front of the fraction.
Dividing two negative values results in a positive value.
Solve for .
Subtract from both sides of the inequality.
Divide each term in 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.
Simplify the left side.
Cancel the common factor of .
Cancel the common factor.
Divide by .
Simplify the right side.
Simplify each term.
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.
Dividing two negative values results in a positive value.
Find the intersection of and .
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