Question

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

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

Answer:

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

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

Step-by-step explanation:

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

$\dfrac{3}{5}(30x-15)=72$

Hence, we have:

$\dfrac{3}{5}\times 30x-\dfrac{3}{5}\times 15=72\\\\18x-9=72$

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

$3(6x-3)=72\\\\i.e.\\\\6x-3=\dfrac{72}{3}\\\\6x-3=24\\\\6x=24+3\\\\6x=27\\\\x=\dfrac{27}{6}\\\\x=\dfrac{9}{2}\\\\x=4.5$