Question

12x+15=k(4x+5) What’s the value for the constant,k

Answer 1

k = 3

Explanation:

Let's expand out the parentheses on the right side of the equation:

k(4x + 5) = k * 4x + 5 * k = 4kx + 5k

In order for these two sides to be equal, the coefficient of x on both sides need to be the same and the constants on both sides need to be the same. So, set each term equal to its corresponding term on the other side:

12x = 4kx

and

15 = 5k

We can easily solve for k and see that k = 3.

Hope this helps!

Answer 2

3=k

Explanation:

12x+15=k(4x+5)

Factor out a 3 from each of the terms on the right

3*4x +3*5 = k(4x+5)

3(4x+5) = k(4x+5)

Divide each side by (4x+5)

3(4x+5)/(4x+5) = k(4x+5)/(4x+5)

3 = k