Question

Which of the following equations have the solution v=3v=3?

(Select all that apply.)





\frac{v}{3}+9=10
3
v
​
+9=10

4=7v-244=7v−24

16=2+5v16=2+5v

5-7v=195−7v=19

3+2v=93+2v=9

Answer 1

v = 3 is only a solution to equations 1 and 5.

STEP-BY-STEP EXPLAINATION:

Equation 1:

`(v)/(3) + 9 = 10`

`(v)/(3) = 10 - 9`

`(v)/(3) = 1`

`v = 1(3)`

`v = 3`

Therefore, v = 3 is a solution.

Equation 2:

`4 = 7v - 24`

`4 + 24 = 7v`

`28 = 7v`

`(28)/(7) = v`

`4 = v`

Therefore, v = 3 is not a solution.

Equation 3:

`16 = 2 + 5v`

`16 - 2 = 5v`

`14 = 5v`

`(14)/(5) = v`

Therefore, v = 3 is not a solution.

Equation 4:

`5 - 7v = 19`

`- 7v = 19 - 5`

`- 7v = 14`

`v = (14)/( - 7)`

`v = - 2`

Therefore, v = 3 is not a solution.

Equation 5:

`3 + 2v = 9`

`2v = 9 - 3`

`2v = 6`

`v = (6)/(2)`

`v = 3`

Therefore, v = 3 is a solution.