Solving Equations?

Question

1. 6k + 9 = - 8k - 12 



3. 3(p+7) - (4p - 1) = - 5 (2p - 3) + 1

 

 

Answer 1

1) 6k + 9 = -8k - 12

    6k + 8k = - 12 - 9

    14k = -21

    k = -21/14

       = - 3/2

       = -1.5

Therefore k = -1.5 or -3/2.

2) 3(p+7) - (4p - 1) = -5(2p - 3) + 1

    3p + 21 - 4p + 1 = -10p + 15 + 1

    -p + 22 = -10p + 16

    -p + 10p = 16 - 22

    9p = -6

    p = -6/9 = -2/3

Therefore p = -2/3.