Question

1/2×-8=9 and ×-8=18 are not equivalent because

Answer 1

By definition, you know that two equations are equivalent when they have the same solution. So, solving the first equation you have

`\begin{gathered} (1)/(2)x-8=9 \\ \text{ Add 8 }to\text{ both sides of the equation} \\ (1)/(2)x-8+8=9+8 \\ (1)/(2)x=17 \\ \text{Multiply by 2 }on\text{ both sides of the equation} \\ 2\cdot(1)/(2)x=17\cdot2 \\ x=34 \end{gathered}`

Now, solving the second equation you have

`\begin{gathered} x-8=18 \\ \text{ Add 8 to both sides of the equation} \\ x-8+8=18+8 \\ x=26 \end{gathered}`

Since the equations do not have the same solution then these equations are not equivalent.