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What value of $a$ is a solution to this equation? $\newline$ $5a = 15$ $\newline$ Choices: $\newline$ (A) $a = 3$ $\newline$ (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

5a = 15

\newline

Choices:

\newline

(A)

a = 3

\newline

(B)

a = 5

Identify Operation: Identify the operation needed to solve for $a$ . The equation is $5a = 15$ , which means $5$ times $a$ is equal to $15$ . To solve for $a$ , we need to perform the inverse operation of multiplication, which is division.
Divide by $5$ : Divide both sides of the equation by $5$ to isolate $a$ . $\newline$ To get $a$ by itself, we divide both sides of the equation by $5$ . This gives us $a = \frac{15}{5}$ .
Perform Division: Perform the division to find the value of $a$ . Calculating the division, we get $a = 3$ .
Check Solution: Check the solution by substituting the value of $a$ back into the original equation. $\newline$ Substituting $a = 3$ into the original equation gives us $5 \times 3 = 15$ , which simplifies to $15 = 15$ . This is true, so $a = 3$ is the correct solution.

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