Question

Solve the equation 2x - 18 = -2y + 12 for x if y is 12. Make sure to first solve the equation for x in terms of y.

X=____

Answer 1

3

Explanation:

2x - 18 = -2y + 12

If y = 12

Therefore,

2x - 18 = -2 x 12 + 12

2x - 18 = -24 + 12

2x - 18 = -12

Add 18 to both sides

2x - 18 + 18 = -12 + 18

2x = 6

Divide both sides by 3

2x/2 = 6/2

x = 3

Answer 2

x = 3

Explanation:

Step 1: Plug in 12 for y

2x - 18 = -2(12) + 12

Step 2: Multiply

2x - 18 = -24 + 12

Step 3: Combine

2x - 18 = -12

Step 4: Add 18 to both sides

2x - 18 + 18 = -12 + 18

2x = 6

Step 5: Divide both sides by 2

2x / 2 = 6 / 2

x = 3

Answer: x = 3