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What value of $a$ is a solution to this equation? $\newline$ $7a = 28$ $\newline$ Choices: $\newline$ (A) $a = 4$ $\newline$ (B) $a = 5$

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Which x satisfies an equation?

Full solution

Q. What value of

a

is a solution to this equation?

\newline

7a = 28

\newline

Choices:

\newline

(A)

a = 4

\newline

(B)

a = 5

Identify Operation: Identify the operation needed to solve for $a$ . The equation is $7a = 28$ , which means we need to isolate the variable $a$ . To do this, we will divide both sides of the equation by the coefficient of $a$ , which is $7$ .
Divide by $7$ : Divide both sides of the equation by $7$ to solve for a. $\newline$ We perform the operation $\frac{7a}{7} = \frac{28}{7}$ . $\newline$ This simplifies to a = $4$ .
Check Solution: Check the solution by substituting the value of $a$ back into the original equation. $\newline$ Substitute $a = 4$ into the equation $7a = 28$ to verify if the left side equals the right side. $\newline$ $7(4) = 28$ simplifies to $28 = 28$ , which is true.

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