Which value of v makes 12=12+(v-8)/(2) a true statement? Choose 1 answer: (A) v=8 (B) v=10 (C) v=12 (D) v=14

Write Equation: First, let's write down the equation we need to solve: 12 = 12 + (v - 8) / 2Subtract 12: To solve for v, we need to isolate v on one side of the equation. Let's start by subtracting 12 from both sides of the equation to get rid of the 12 on the left side: 12 - 12 = 12 - 12 + (v - 8) / 2 0 = (v - 8) / 2Multiply by 2: Now, we multiply both sides of the equation by 2 to eliminate the denominator and solve for v: 2 * 0 = 2 * (v - 8) / 2 0 = v - 8Add 8: Finally, we add 8 to both sides of the equation to solve for v: 0 + 8 = v - 8 + 8 8 = v

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Which value of
v makes
12=12+(v-8)/(2) a true statement?
Choose 1 answer:
(A)
v=8
(B)
v=10
(C)
v=12
(D)
v=14

Which value of $v$ makes $12=12+\frac{v-8}{2}$ a true statement? $\newline$ Choose $1$ answer: $\newline$ (A) $v=8$ $\newline$ (B) $v=10$ $\newline$ (C) $v=12$ $\newline$ (D) $v=14$

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Math Problems

Algebra 2

Simplify rational expressions

Full solution

Q. Which value of

v

makes

12=12+\frac{v-8}{2}

a true statement?

\newline

Choose

1

answer:

\newline

(A)

v=8

\newline

(B)

v=10

\newline

(C)

v=12

\newline

(D)

v=14

Write Equation: First, let's write down the equation we need to solve: $\newline$ $12 = 12 + \frac{v - 8}{2}$
Subtract $12$ : To solve for $v$ , we need to isolate $v$ on one side of the equation. Let's start by subtracting $12$ from both sides of the equation to get rid of the $12$ on the left side: $\newline$ $12 - 12 = 12 - 12 + (v - 8) / 2$ $\newline$ $0 = (v - 8) / 2$
Multiply by $2$ : Now, we multiply both sides of the equation by $2$ to eliminate the denominator and solve for $v$ : $2 \times 0 = 2 \times \frac{v - 8}{2}$ $0 = v - 8$
Add $8$ : Finally, we add $8$ to both sides of the equation to solve for $v$ : $\newline$ $0 + 8 = v - 8 + 8$ $\newline$ $8 = v$