Question

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

Answer 1

ANSWER:

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

STEP-BY-STEP EXPLAINATION:

Equation 1:

$\frac{v}{3} + 9 = 10$

$\frac{v}{3} = 10 - 9$

$\frac{v}{3} = 1$

$v = 1(3)$

$v = 3$

Therefore, v = 3 is a solution.

Equation 2:

$4 = 7v - 24$

$4 + 24 = 7v$

$28 = 7v$

$\frac{28}{7} = v$

$4 = v$

Therefore, v = 3 is not a solution.

Equation 3:

$16 = 2 + 5v$

$16 - 2 = 5v$

$14 = 5v$

$\frac{14}{5} = v$

Therefore, v = 3 is not a solution.

Equation 4:

$5 - 7v = 19$

$- 7v = 19 - 5$

$- 7v = 14$

$v = \frac{14}{ - 7}$

$v = - 2$

Therefore, v = 3 is not a solution.

Equation 5:

$3 + 2v = 9$

$2v = 9 - 3$

$2v = 6$

$v = \frac{6}{2}$

$v = 3$

Therefore, v = 3 is a solution.