Question

Two equations are shown: Equation 1: 3 4 (x−12)=12 Equation 2: 3 4 y−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:

Given : Equation 1 -
`(3)/(4)(x-12)=12`

Equation 2 -
`(3)/(4)y-12=12`

To find : Solve each equation ?

Solution :

Equation 1 -
`(3)/(4)(x-12)=12`

Apply distributive property,
`a(b-c)=ab-ac`

`(3)/(4)x-(3)/(4)* 12=12`

`(3)/(4)x-3* 3=12`

`(3)/(4)x-9=12`

`(3)/(4)x=12+9`

`(3)/(4)x=21`

`x=(21* 4)/(3)`

`x=28`

Equation 2 -
`(3)/(4)y-12=12`

Add 12 both side,

`(3)/(4)y-12+12=12+12`

`(3)/(4)y=24`

`y=(24* 4)/(3)`

`y=32`

The value of x is 28.

The value of y is 32.