Question

Decide whether the given number is solution of the given equation

Answer 1

Given the equation below

`-5f=42-f`

Solving for f

`\begin{gathered} -5f=42-f \\ -5f+f=42 \\ -4f=42 \\ Divide\text{ both sides by }-4 \\ (-4f)/(-4)=(42)/(-4) \\ f=-10.5 \end{gathered}`

If you substitute -7 for f into the equation

`\begin{gathered} -5f=42-f \\ -5(-7)=42-(-7) \\ 35=42+7 \\ 35=49 \end{gathered}`

Hence, the answer is

No, because replacing f with -7, and simplifying the left side results in 35 and simplifying the right side results in 49