Question

2What mistake did the student make when solvingtheir two-step equation?(a)(b)If correctly solved what should the value of be?

Answer 1

The given equation is

`2x-2=14`

The student's solution is shown below

From the student's solution,

The student made a mistake by subtracting 2 from both sides of the equation instead of adding 2

b.

The right solution for x is shown below

Given

`2x-2=14`

Add 2 to both sides of the equation

`\begin{gathered} 2x-2+2=14+2 \\ \Rightarrow2x=16 \end{gathered}`

Divide both sides of the equation by 2

This gives

`\begin{gathered} (2x)/(2)=(16)/(2) \\ x=8 \end{gathered}`

Therefore, the solution is x = 8