Question

Solve the equation for y and justify each step.

-2x+12y=30

Answer 1

y=−10x+2 hope this helps

Answer 2

Step 1: Start with the original equation: -2x + 12y = 30

Step 2: We want to isolate the term with y, so let's move the -2x term to the other side of the equation. We can do this by adding 2x to both sides:

-2x + 2x + 12y = 30 + 2x

Simplifying, we get:

12y = 2x + 30

Step 3: Now, we need to isolate y, so we divide both sides of the equation by 12:

12y/12 = (2x + 30)/12

Simplifying, we get:

y = (2/12)x + (30/12)

Step 4: Simplify the right side of the equation:

y = (1/6)x + (5/2)

So, the equation y = (1/6)x + (5/2) represents the original equation -2x + 12y = 30 when solved for y.

Each step was justified by applying inverse operations to isolate the variable y. This process ensures that we maintain the equality of the equation while making it easier to solve for the desired variable.




~ LadyBrain