Which of the following equations has the same solution as the equation? 18/x-3 = 2

Question

A. 2x - 6 = 18

B. 2x - 3 = 18

C. x - 4 = 14

D. x-3/18 = 2

Answer 1

The key to all of these types of problems is isolating the X. We can work on different strategies on doing so.

Answer 2

The answer is (A)

The equation in the question:

18/(x - 3) = 2

multiply both sides by denominator (x - 3)

18/(x - 3) = 2

x (x - 3). x (x - 3)

18 = 2(x - 3)

18= 2x - 6

Add 6 to both sides

18= 2x - 6

+6. +6

24 = 2x

Divide both sides by 2

24 = 2x

÷ 2. ÷ 2

12 = x

Then solve for x on all 4 answer choices.

The only one which has a solution of x = 12 is (A).

2x - 6 = 18

+6. +6

2x = 24

÷ 2 ÷ 2

x = 12

Answer 3

I am going to presume the original equation is:

18 / ( x -3 ) = 2

Multiply both sides by (x-3):

18 = 2x -6

If a= b, then b = a by the symmetric property of equality.

So,

2x-6 = 18

And the correct answer is (A).

You can check this by solving each equation for x.