Question

Find the value of a in the equation 5/a+3 = 3/a-2

Answer 1

Option D

Explanation:

Please see attached picture for a detailed answer.

Answer 2

D 9 1/2

Explanation:

5/(a+3) = 3/(a-2)

We can use cross products to solve

5 * (a-2) = 3 * (a+3)

Distribute

5a - 10 = 3a +9

Subtract 3a from each side

5a -3a -10 = 3a -3a +9

2a -10 =9

Add 10 to each side

2a -10+10 = 9+10

2a = 19

Divide each side by 2

2a/2 = 19/2

a = 19/2

a = 9 1/2