SOLUTION: Solve the nonlinear system by substitution {y=x^2-6x+9 {y=-2x+5

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Question 924359: Solve the nonlinear system by substitution
{y=x^2-6x+9
{y=-2x+5
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The obvious substitution to make is for y as defined with the second equation. Substitute the expression into the quadratic, first equation; simplify and solve for x.

Another way to view the system is that you have two equal expressions for y.

-2x%2B5=x%5E2-6x%2B9.
Solve that and continue.