DeryaE118556 DeryaE118556
  • 03-11-2022
  • Mathematics
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Which of the following equations is equivalent to the given equation?

Which of the following equations is equivalent to the given equation class=

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SantiV486761 SantiV486761
  • 03-11-2022

Answer:

[tex]\begin{equation*} 5(7a+5)-80=4(3a+15) \end{equation*}[/tex]

Explanation:

Given the equation:

[tex]\frac{7a+5}{8}-2=\frac{3a+15}{10}[/tex]

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:

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

The third option is equivalent.

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