Question

Solve the following for y: 4x + 2y = -2.

A) y = -2x + 1
B) y = 2x + 1
C) y = -2x - 1
D) y = 2x - 1

Answer 1

To solve the equation 4x + 2y = -2 for y, you need to isolate y on one side of the equation by following the steps: subtract 4x from both sides, simplify the equation, divide both sides by 2, and simplify further. The solution for y is y = -2x - 1 (option C).

Step-by-step explanation:

To solve the equation 4x + 2y = -2 for y, we need to isolate y on one side of the equation.

Step 1: Subtract 4x from both sides of the equation to get 2y = -2 - 4x.

Step 2: Simplify the equation to get 2y = -4x - 2.

Step 3: Divide both sides of the equation by 2 to isolate y. This gives us y = (-4x - 2) ÷ 2.

Step 4: Simplify the equation to get y = -2x - 1.

Therefore, the solution for y is y = -2x - 1 (option C).