Question

How many solutions can be found for the equation?

4k + 2(k − 4) = 9k − 6k + 10



Show your calculations or write/record an explanation to justify your answer.

Answer 1

Solve step by step:

4k + 2(k − 4) = 9k − 6k + 10
4k + 2k − 8 = 3k + 10 (expand both sides)
6k − 8 = 3k + 10
6k − 3k = 10 + 8 (move 3k to left and −8 to right)
3k = 18
k = 6

There is one solution: k = 6. (Check: left = 24 + 4 = 28, right = 54 − 36 + 10 = 28.)