Question

You are given the following system of equations: y:

- 13x + 85 and y = 15 + 4x . It is
known that this system of equations has two solutions. If the variable k represents the product of the two
×-values that satisfy the system, what is the value of k?

Answer 1

70.

Explanation:

1) to calculate the values of the 'x':

4x+15=x²-13x+85; ⇔ x²-17x+70=0; ⇔

x₁=7; x₂=10;

2) to calculate the required k:

k=x₁*x₂; k=7*10=70.