Question

What is the solution of the linear equation? LaTeX: 5k\:+\:3.8\:=\:3k\:+\:95 k + 3.8 = 3 k + 9 Group of answer choices 26 6.4 .065 2.6

Answer 1

`k = 2.6`

Explanation:

Given

`5k + 3.8 = 3k + 9`

Required

Solve

`5k + 3.8 = 3k + 9`

Collect like terms

`5k -3k+ 3.8 = 3k -3k + 9`

`2k+ 3.8 = 9`

Subtract 3.8 from both sides

`2k+ 3.8 - 3.8= 9 - 3.8`

`2k= 9 - 3.8`

`2k = 5.2`

Divide through by 2

`k = 5.2/2`

`k = 2.6`