Question

A. What mistake did the student make whensolving their two-step equation?B. If correctly solved what should the value of x be?

Answer 1

`\begin{gathered} A)-18-3=-15\Rightarrow false(mistake) \\ B)x=-126 \end{gathered}`

Step-by-step explanation

`\begin{gathered} (x)/(6)+3=-18 \\ \end{gathered}`

Step 1

to find the solution we need to isolate x, so

a)subtract 3 in both sides

so

`\begin{gathered} (x)/(6)+3=-18 \\ subtract\text{ 3 in both sides} \\ (x)/(6)+3-3=-18-3 \\ (x)/(6)=-21 \end{gathered}`

therefore, the mistake the student did is

he did :

`-18-3=-21\Rightarrow False`

Step 2

now, to find the true value for x , let's continue with the solution

`\begin{gathered} (x)/(6)=-21 \\ \text{Multiply both sides by 6} \\ (x)/(6)\cdot6=-21\cdot6 \\ x=-126 \end{gathered}`

therefore, the answer is

`x=-126`

I hope this helps you