Question

Error Analysis Dyani began solving the equation g= (x-1)/k for x by adding 1 to each side. Explain Dyani's error. Then describe how to solve for x.

Answer 1

Dyani's error in solving the equation g=(x-1)/k is not accounting for the division by k when adding 1 to each side. To solve for x, multiply both sides by k and add 1.

Step-by-step explanation:

Dyani's error in solving the equation g = (x-1)/k by adding 1 to each side is that she did not account for the division by k. When adding 1 to each side, the equation should be written as g+1 = (x-1)/k+1. To solve for x, we need to multiply both sides of the equation by k and then add 1 to each side.

Here are the steps to solve for x:

1. Add 1 to each side of the equation: g+1 = (x-1)/k+1
2. Multiply both sides by k: k(g+1) = x-1
3. Add 1 to each side: k(g+1)+1 = x