Question

Solve the following using inverse operations. 7x + 19 = 2x + 54X=7X=9X=5X= -7

Answer 1

Given:

7x + 19 = 2x + 54

The inverse of the equation above will be:

7x - 19 = 2x - 54

Let's solve for x:

Subtract 2x from both sides:

7x - 19 - 2x = 2x - 54 - 2x

7x - 2x - 19 = 2x - 2x - 54

5x - 19 = -54

Add 19 to both sides:

5x - 19 + 19 = -54 + 19

5x = -35

Divide both sides by 5:

`\begin{gathered} (5x)/(5)=-(35)/(5) \\ \\ x\text{ = -7} \end{gathered}`

ANSWER:

X = -7