Question

Please answer this question.

Answer 1

k = 11.87

Explanation:

Because the two expressions should be equivalent, set the two expressions equal to each other.

`-10.5x+k=-2.1(5x-3.7)+4.1`

Begin simplifying the equation and solve for k.

`-10.5x+k=-10.5x+7.77+4.1` (distributive property)

`-10.5x+k=-10.5x+11.87` (combine like terms - 7.77 + 4.1)

`k = 11.87` (add 10.5x to both sides to combine like terms -- the x values cancel out because -10.5x+10.5x = 0. Therefore, you are left with k = 11.87)