Asked by Alexis

Can you check the following problem? (forgot to incl last night)

1. Which is an equivalent equation to (2/3)x - 1 = 1/2 that does not contain fractions?

(2/3)x = 1 + 1/2
(2/3)x = 3/2
x = 3/2 * 3/2
x = 9/4
x = 2 1/4


A. 4x - 6 = 3
4x = 9
x = 9/4
x = 2 1/4

B. 4x - 2 = 3
4x = 5
x = 5/4
x = 1 1/4

C. 3x - 2 = 1
3x = 3
x = 1

D. 2x - 3 = 3/2
2x = 3/2 + 3
2x = 3/2 + 6/2
2x = 9/2
x = 9/4
x = 2 1/4

ANs: I'm not sure. Choice C is the only that doesn't include a fraction. But, it doesn't make the original equation true. Choice A and D both have same answer as original equation. Can you explain how to do this?
Answered by Reiny
It says to find the equivalent equation containing no fractions.
It did not ask to find the solution, so

(2/3)x - 1 = 1/2
multiply each term by 6 , the LCD
6(2/3)x - 6(1) = 6(1/2)
4x - 6 = 3

which is choice A
Answered by Alexis
Oh.thank you!
Answered by Avia
2/3x + 1 = 1/2
There are no AI answers yet. The ability to request AI answers is coming soon!