Question

Consider the following system of equations: y=-(3)/(5)x+3 y=(x-5)(x+k) where k is a constant. If the solutions to this system of equations are the points (0,3) and (5,0), what is the value of k ? (A) 3 (B) -(3)/(5) (c) (3)/(5) (D) -3

Answer 1

To find the value of k, substitute the given points into the second equation and solve for k. The value of k is -1.

Step-by-step explanation:

To find the value of k, we can substitute the given points into the second equation and solve for k. Since we are given the points (0,3) and (5,0), we can substitute these values into the equation y=(x-5)(x+k) to get:

3=(0-5)(0+k)

3=(-5)(k)

k=−1

Therefore, the value of k is -1.