Question

What is the value of x in the equation 8x – 2y = 48, when y = 4?.

Answer 1

x = 7

Explanation:

Given:

• y = 4

Step-1: Substitute the y-variable in the equation (8x – 2y = 48)

• ⇒ 8x - 2y = 48
• ⇒ 8x - 2(4) = 48

Step-2: Simplify the L.H.S

• ⇒ 8x - 2(4) = 48
• ⇒ 8x - 8 = 48

Step-3: Add 8 both sides

• ⇒ 8x - 8 = 48
• ⇒ 8x - 8 + 8 = 48 + 8
• ⇒ 8x = 56

Step-4: Divide 8 both sides

• ⇒ 8x = 56
• ⇒ 8x/8 = 56/8
• ⇒ x = 7

Answer 2

Explanation:

Substitute the value of y into the equation;

`8x-2(4)=48`

Find the value of x.

Multiply;

`8x-8=48`

Add 8 to each side;

`8x=56`

Divide each side by 8;

`x=7`