Question

We are trying to solve an Absolute Value Equation that has a fraction. It is 2x over 5 = 8.

Answer 1

Answer:

x = 20 or x = -20

Explanations:

The given equation is:

`|(2x)/(5)|\text{ = 8}`

The equation will be splitted into two and solve differently

`\begin{gathered} (2x)/(5)=\text{ 8} \\ \text{and }(2x)/(5)=-8 \end{gathered}`

For 2x/5 =8

Cross multiply

2x = 8(5)

2x = 40

x = 40/2

x = 20

For 2x/5 = -8

Cross multiply

2x = -8(5)

2x = -40

x = -40/2

x = -20

x = 20 or x = -20