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

k = 3

Step-by-step 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!

3=k

Step-by-step 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

ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation: