Question

What is the value of k assuming the following equation has multiple solutions, 2x+6=6-3x+kx?

Answer 1

k=5?

Explanation:

you get, 5x +6 = 6 + kx

then take away six from both sides 5x= kx

then make it equal to zero 5x - kx =0

take out common factor of x , x (5-k) = 0

so k = 5

Answer 2

k=5

Explanation:

2x+6=6-3x+kx

Simplify

2x+6 = x(k-3) +6

If there are multiply solutions, both sides need to be equal

2 = k-3

Add 3 to each side

2+3 = k-3+3

5 =k

k=5