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What value of $v$ is a solution to this equation? $\newline$ $7v = 56$ $\newline$ Choices: $\newline$ (A) $v = 8$ $\newline$ (B) $v = 9$

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Which x satisfies an equation?

Full solution

Q. What value of

v

is a solution to this equation?

\newline

7v = 56

\newline

Choices:

\newline

(A)

v = 8

\newline

(B)

v = 9

Identify Operation: Identify the operation needed to isolate the variable $v$ . The equation is $7v = 56$ , which means $7$ times some number $v$ equals $56$ . To find the value of $v$ , we need to perform the inverse operation of multiplication, which is division.
Divide by $7$ : Divide both sides of the equation by $7$ to solve for $v$ . To isolate $v$ , we divide both sides of the equation by $7$ . This gives us $v = \frac{56}{7}$ .
Perform Division: Perform the division to find the value of $v$ . Calculating $56$ divided by $7$ gives us $v = 8$ .
Check Solution: Check the solution by substituting $v$ back into the original equation. $\newline$ Substitute $v = 8$ back into the original equation to check if $7v$ equals $56$ . This gives us $7 \times 8$ , which equals $56$ . Since this is true, our solution is correct.

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