Using cross multiplication, which of the following is the solution to 2 / (x-7) = 3 / (x-5) ? A.-31 B. 11 C.-11 D. 31

2 (x - 5) = 3 (x - 7

2x - 10 = 3x - 21

-10 + 21 = 3x - 2x

11 = x

B is the answer

Hi,

Let's solve the equation step-by-step.

2 / (x-7) = 3 / (x-5)

Cross Multiply

2/x-7 = 3/x-5

2 * (x-5) = 3 * (x-7)

2x-10=3x-21

Subtract 3x from both sides.

2x-10-3x=3x-21-3x

-x-10=-21

Add 10 to both sides.

-x-10+10=-21+10

-x=-11

Divide both sides by - 1.

-x/-1 = - 11/-1

Answer:

x=11

Have a great day!