Question

For each equation chose the statement that describes its solution

Answer 1

GIven:

The equations

$\begin{gathered} -6(u+1)+8u=2(u-3) \\ 2(v+1)+7=3(v-2)+2v \end{gathered}$

Required:

Find the correct solution.

Explanation:

The equations,

$\begin{gathered} -6(u+1)+8u=2(u-3) \\ -6u-6+8u=2u-6 \\ -6u+8u=2u \\ -8u+8u=0 \\ 0=0 \\ Hence,\text{ true for all }u. \end{gathered}$

And

$\begin{gathered} 2(v+1)+7=3(v-2)+2v \\ 2v+2+7=3v-6+2v \\ 9=3v-6 \\ 3v=15 \\ v=5 \end{gathered}$

Answer:

$\text{ In equation 1, equation is true for all }u\text{ and equation 2 is true for }v=5.$