SOLUTION: How would you solve this problem by substitution? x^2+y^2=9 x+y=3

Question 89697: How would you solve this problem by substitution?
x^2+y^2=9
x+y=3

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Subtract x from both sides

Plug in

Foil

Subtract 9 from both sides

Combine like terms

Factor out 2x

or Set each factor equal to x

or Solve for x

So we have x values or

Lets find y with

So one solution is (0,3)

Lets find y with

So another solution is (3,0)

Here's some visual proof
graph of and

Here we can see that the intersections are (0,3) and (3,0). So this verifies our answer.
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