Given the equation StartFraction 2 x + 2 Over y EndFraction = 4 w + 2 what is the value of x?

B

Step-by-step explanation:

I took the test

Question:

Given the equation (2x + 2) / y = 4w + 2.

What is the value of x?

Answer:

x = 2wy + y - 1

Step-by-step explanation:

Given

(2x + 2) / y = 4w + 2

Required

Find x

To find the value of x; the following steps will be used.

First, Multiply both sides by y

y * (2x + 2) / y = (4w + 2) * y

2x + 2 = 4wy + 2y

Subtract 2 from both sides

2x + 2 - 2 = 4wy + 2y - 2

2x = 4wy + 2y - 2

Multiply both sides by ½

½ * 2x = ½ (4wy + 2y - 2)

x = ½ (4wy + 2y - 2)

Open bracket

x = ½ * 4wy + ½ * 2y - ½ * 2

x = 2wy + y - 1

Hence, the value of x is 2wy + y - 1