Question

Y = -2x + 8
y = x^2 - 9x + 18

solve the system of nonlinear equation

Answer 1

Substitution

-2x+8=x^2-9x+18

x^2-7x+10=0

Factoring, we get

(x-5)(x-2)=0

x=5, x=2

If x equals 5,

y=-2(5)+8=

-10+8=

-2

Therefore, we derive our first solution:

x=5,

y=-2

Now we solve for our second x

If x=2,

y=-4+8=

4

Therefore, we derive our second solution:

x=2

y=4

-Hunter