Question

Solve. 3/ k+3 = 8/ k-2
A.) k= -1
B.) k= 1
C.) k= -6
D.) k= 6

Answer 1

3/k+3=8/k-2
butterfly (multiply 8 and k+3) and (multiply 3 and k-2) and set them = to eachother
8 (k+3)=3 (k-2)
distribute
8k+24=3k-6
-3k both sides
5k+24=-6
-24 both sides
5k=-30
÷5 both sides
k=-6