Question

What is the value of x?

Answer 1

Answer:

Step-by-step explanation:

Set this up according to the Triangle Proportionality Theorem:

$\frac{3x}{4x}=\frac{3x+7}{5x-8}$

Cross multiply to get

$3x(5x-8)=4x(3x+7)$

and simplify to get

$15x^2-24x=12x^2+28x$

Get everything on one side of the equals sign and solve for x:

$3x^2-52x=0$ and

$x(3x-52)=0$

By the Zero Product Property,

x = 0 or 3x - 52 = 0 so x = 17 1/3