Question

Which equations have the same value of x as 3/5 (30x-15) = 72? Select three options.

18x-15=72
50x-25=72
18x-9=72
3(6x-3) = 72
x=4.5

Answer 1

I got:
c) 18x-9=72
d) 3(6x-3)=72
e) x=4.5
If you need any explanations for the answers, please tell me!

Answer 2

The equations which will have the same value of x as the given equation is:

`18x-9=72 \\\\3(6x-3) = 72 \\\\x=4.5`

Explanation:

We are given a equation in terms of the variable x as follows:

`(3)/(5)(30x-15)=72`

Hence, we have:

`(3)/(5)* 30x-(3)/(5)* 15=72\\\\18x-9=72`

Now, on taking common 3 in the left hand side of the equation we have:

`3(6x-3)=72\\\\i.e.\\\\6x-3=(72)/(3)\\\\6x-3=24\\\\6x=24+3\\\\6x=27\\\\x=(27)/(6)\\\\x=(9)/(2)\\\\x=4.5`