Question

Step 1: –3x – 5 = 13 Step 2: –3x = 18 Step 3: x = –6 Which sequence describes the inverse operations used for steps 2 and 3 to solve the linear equation?

Answer 1

Apply inverse law

a a⁻¹ = 1

The solution of the given linear equation is x = -6

Explanation:

Step(i):-

Given equation -3 x-5=13

Adding '5' on both sides, we get

- 3 x - 5 + 5 = 13 + 5

- 3 x = 1 8

step(ii):-

apply inverse law

a a⁻¹ = 1

(- 3)(-3)⁻¹ x = 18 (-3)⁻¹

x = 18/-3 = -6

(or)

Dividing '-3' on both sides , we get

`(-3 x)/( -3) = (18)/(-3)`

x =- 6