Question

Find the value of k so that the solution set for the following equation is -7.

3x - 4 - 5(x-2) = 3/4x + 1/3 - k

Answer 1

k = -299/12 = - 24 11/12

Explanation:

3x - 4 - 5(x-2) = 3/4x + 1/3 - k

x = - 7

3*(-7) - 4 - 5(-7 -2) = 3/4*(-7) + 1/3 - k

-21 -4 -5*(-9) = - 21/4 + 1/3 - k

-25 + 45 = - 21/4 + 1/3 - k

20 = (- 21*3)/(4*3) + 4/(3*4) - k

20 = - 63/12 + 4/12 - k

20 = - 59/12 - k

k = - 59/12 - 20

k = -299/12 = - 24 11/12

Answer 2

Answer: k=11x/4 - 17/3

Step-by-step explanation: Convert the variable by dividing each side by factors that don't contain the variable.

Hope this helps you out! ☺