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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

Respuesta :

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:

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

[tex]18x-9=72 \\\\3(6x-3) = 72 \\\\x=4.5[/tex]

Step-by-step explanation:

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

[tex]\dfrac{3}{5}(30x-15)=72[/tex]

Hence, we have:

[tex]\dfrac{3}{5}\times 30x-\dfrac{3}{5}\times 15=72\\\\18x-9=72[/tex]

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

[tex]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[/tex]