Question

Solve the system of equations y= -x + 2 y= x^2-6+8

Answer 1

Answer: x=6 and y = -4 and x= -1 and y=3

Explanation:

Your two equations are y = -x + 2

and y=x^2 -6x + 8

Subsituting y=-x+2, we get

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

x^2 -5x +6 = 0

Solving by the quadratic formula gives,

(5+/- sqrt(25+24))/2

Thus, the two solutions are 6, and -1.

So x=6

y= -4 and

x=-1

y= 3