Question

Which of the following equations is equivalent to the given equation?

Answer 1

Answer:

$\begin{equation*} 5(7a+5)-80=4(3a+15) \end{equation*}$

Explanation:

Given the equation:

$\frac{7a+5}{8}-2=\frac{3a+15}{10}$

First, find the lowest common multiple of the denominators 8 and 10.

• The LCM of 8 and 10 = 40

Then, multiply all through by 40:

$\begin{gathered} \frac{40(7a+5)}{8}-2(40)=\frac{40(3a+15)}{10} \\ \implies5(7a+5)-80=4(3a+15) \end{gathered}$

The third option is equivalent.