## Algebra 1

$\frac{5}{2c - 3}$ = $\frac{3}{7c + 4}$ First, use the Cross Products Property. 5(7c + 4) = 3(2c - 3) Use the Distributive Property on both sides of the equation. 5(7c) + 5(4) = 3(2c) - 3(3) Simplify. 35c + 20 = 6c - 9 Subtract 6c from both sides of the equation. 35c + 20 - 6c = 6c - 9 - 6c 29c + 20 = - 9 Subtract 20 from both sides of the equation. 29c + 20 - 20 = - 9 - 20 29c = -29 Divide both sides by 29. $\frac{29c}{29}$ = $\frac{-29}{29}$ c = -1