Question

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

Answer 1

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!

Answer 2

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

2x - 10 = 3x - 21

-10 + 21 = 3x - 2x

11 =  x

B is the answer