What value of v is a solution to this equation? 7v = 56 Choices: (A)v = 8 (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 = 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. Substitute v = 8 back into the original equation to check if 7v equals 56. This gives us 7 * 8, which equals 56. Since this is true, our solution is correct.

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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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Math Problems

Grade 7

Which x satisfies an equation?

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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.