Question

Describe and correct the error in solving the equation 2m = -6n + 3 for n.

a) n = (2m - 3) / -6
b) n = (2m + 3) / -6
c) n = 2m + 3
d) n = -6(2m + 3)

Answer 1

The correct answer is option a) n = (2m - 3) / -6.

Step-by-step explanation:

The correct answer is option a) n = (2m - 3) / -6.

To solve the equation 2m = -6n + 3 for n, we need to isolate n on one side of the equation. We can do this by moving -6n to the left side of the equation and moving 3 to the right side.

First, we'll move -6n to the left side: 2m + 6n = 3. Then, we'll move 3 to the right side by subtracting 3 from both sides: 2m + 6n - 3 = 0.

Finally, we can solve for n by dividing both sides of the equation by -6: (2m - 3) / -6 = n.