Question

2/3(9a+18b)=6a+kb

Which value of k makes the equation true?


1.) 9

2.) 3

4.) 12

5.) 6

Answer 1

4.) 12

Explanation:

`(2)/(3) (9a + 18b) = 6a + kb \\ \\ \implies \: (2)/(3) * 9a + (2)/(3) * 18b = 6a + kb \\ \\ \implies \: { 6a} + 12b = 6a + kb \\ \\ \implies \: \cancel{ 6a} + 12b - \cancel{ 6a} = kb \\ \\ \implies \: 12b = kb \\ \\ \implies \: k = (12\cancel b)/(\cancel b) \\ \\ \huge \implies \: k = 12`