Answer
c = -1
Work Step by Step
$\frac{5}{2c - 3}$ = $\frac{3}{7c + 4}$
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
