ANSWER:
v = 3 is only a solution to equations 1 and 5.
STEP-BY-STEP EXPLAINATION:
Equation 1:
[tex] \frac{v}{3} + 9 = 10[/tex]
[tex] \frac{v}{3} = 10 - 9[/tex]
[tex] \frac{v}{3} = 1[/tex]
[tex]v = 1(3)[/tex]
[tex]v = 3[/tex]
Therefore, v = 3 is a solution.
Equation 2:
[tex]4 = 7v - 24[/tex]
[tex]4 + 24 = 7v[/tex]
[tex]28 = 7v[/tex]
[tex] \frac{28}{7} = v[/tex]
[tex]4 = v[/tex]
Therefore, v = 3 is not a solution.
Equation 3:
[tex]16 = 2 + 5v[/tex]
[tex]16 - 2 = 5v[/tex]
[tex]14 = 5v[/tex]
[tex] \frac{14}{5} = v[/tex]
Therefore, v = 3 is not a solution.
Equation 4:
[tex]5 - 7v = 19[/tex]
[tex] - 7v = 19 - 5[/tex]
[tex] - 7v = 14[/tex]
[tex]v = \frac{14}{ - 7} [/tex]
[tex]v = - 2[/tex]
Therefore, v = 3 is not a solution.
Equation 5:
[tex]3 + 2v = 9[/tex]
[tex]2v = 9 - 3[/tex]
[tex]2v = 6[/tex]
[tex]v = \frac{6}{2} [/tex]
[tex]v = 3[/tex]
Therefore, v = 3 is a solution.
