Question

Solve the equation 4x - 6 = 34. Write a justification for each step.

Answer 1

Answer:

[1] Addition property of equality

[2] Division property of equality

Step-by-step explanation:

Given the equation, $4x - 6 = 34$, the following are steps and justification for each step taken:

$4x - 6 = 34$ => Given equation

Add 6 to both sides

$4x - 6 + 6 = 34 + 6$ => addition property of equality [1]

$4x = 40$ => simplify

Divide both sides by 4

$\frac{4x}{4} = \frac{40}{4}$ => Division property of equality [2]

$x = 10$ => simplify

The justification for the steps taken are:

[1] Addition property of equality

[2] Division property of equality