What value of a is a solution to this equation? 7a = 28 Choices: (A)a = 4 (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. We perform the operation $ \frac{7a}{7} = \frac{28}{7} $. This simplifies to a = 4.Check Solution: Check the solution by substituting the value of a back into the original equation. Substitute a = 4 into the equation 7a = 28 to verify if the left side equals the right side. 7(4) = 28 simplifies to 28 = 28, which is true.

Home

Math Problems

Grade 7

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.