Question

Yednia solved an equation and justified her steps as shown in the table.

2+2x5=−10

Drag and drop the reasons into the boxes to correctly complete the table.

Answer 1

Given:

Consider the equation

`2+(2x)/(5)=-10`

To find:

The steps and solution for the given equation.

Solution:

We have,

`2+(2x)/(5)=-10`

Step 1: Using subtraction property of equality, subtract 2 from both sides.

`2+(2x)/(5)-2=-10-2`

`(2x)/(5)=-12`

Step 2: Using multiplication property of equality, multiply both sides by 5.

`(2x)/(5)* 5=-12* 5`

`2x=-60`

Step 3: Using division property of equality, divide both sides by 2.

`(2x)/(2)=(-60)/(2)`

`x=-30`

Therefore, the solution of the given equation is
`x=-30`.