The equations that are equal to the given equation are 56 + 8x = 80 and 2x = 6. The correct options are a. 56 + 8x = 80 and d. 2x = 6
From the question,
We are to determine the equations that are equal to the given equation
The given equation is
[tex]\frac{1}{4}(8x+56)=20[/tex]
Multiply both sides of the equation by 4,
We get
[tex]4\times \frac{1}{4}(8x+56) = 4 \times 20[/tex]
This gives
8x + 56 = 80
OR
56 + 8x = 80
∴ Option a. 56 + 8x = 80 is equal to the given equation
Simplifying further
56 + 8x = 80 becomes
8x = 80 - 56
8x = 24
Now, divide both sides by 4
[tex]\frac{8x}{4}=\frac{24}{4}[/tex]
This gives
2x = 6
∴ Option d. 2x = 6 is equal to the given equation
Hence, the equations that are equal to the given equation are 56 + 8x = 80 and 2x = 6. The correct options are a. 56 + 8x = 80 and d. 2x = 6
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