Question

Solve the following quadratic-linear system of equations

Y=x^2-8x+19
Y=2x-6
A)(-5,-2) and (-4,1)
B)(4,2) and (3,5)
C) (4,-6) and (2,5)
D)(5,4)

Answer 1

It's D, (5, 4).

Explanation:

Substitute the second equation for y in the first equation:-

2x - 6 = x^2 - 8x + 19

x^2 - 10x + 25 = 0

(x - 5)^2 = 0

x = 5 (multiplicity 2).

So y = 2(5) - 6 = 4