SOLUTION: Solve the system of equations. 1. y = x - 1 x^2 + y^2 = 25 2. x + y = 1 y = x^2

SOLUTION: Solve the system of equations. 1. y = x - 1 x^2 + y^2 = 25 2. x + y = 1 y = x^2 - 5

Question 1059193: Solve the system of equations.
1.
y = x - 1
x^2 + y^2 = 25
2.
x + y = 1
y = x^2 - 5

Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!

1. Substitute "x-1" for "y" in the 2nd equation, to get:

So x=-3 or x=4
x=-3 ==> y=-4
x=4 ==> y=3
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Answer: (x,y) = (-3, -4) and (x,y) = (4,3)
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Check:
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and
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2. x+y = 1 ==> y=1-x
Substitute 1-x for y in the 2nd equation to get:

x=2 or x=-3
x=2 ==> y=-1
x=-3 ==> y=4
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Answer: (x,y) = (2,-1) and (x,y) = (-3,4)
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Check:
(ok)
(ok)

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