Question

Two equations are shown:

• Equation 1: 3/4(x– 12) = 12
Equation 2: 3/4y - 12 = 12
.
Solve each equation. Then, enter a number in each box to make this statement true.
The value of x is:
The value of y is:

Answer 1

The value of x is: 28

The value of y is: 32

Explanation:

Let us solve the question

∵
`(3)/(4)` (x - 12) = 12 ⇒ (1)

→ Multiply each term in the bracket by
`(3)/(4)`

∴
`(3)/(4)` (x) -
`(3)/(4)` (12) = 12

∴
`(3)/(4)` x - 9 = 12

→ Add 9 to each side

∵
`(3)/(4)` x - 9 + 9 = 12 + 9

∴
`(3)/(4)` x = 21

→ Divide both sides by
`(3)/(4)` to find x

∴ x = 28

∵
`(3)/(4)` y - 12 = 12 ⇒ (2)

→ Add 12 to both sides

∴
`(3)/(4)` y - 12 + 12 = 12 + 12

∴
`(3)/(4)` y = 24

→ Divide both sides by
`(3)/(4)` to find y

∴ y = 32