What are the solutions of the following system x2+y2=25 , 2x+y=-5
2 answers:
Y=5-2x
x^2 + (5-2x)^2 = 25
x^2 + 25-20x+4x^2 = 25
x^2 +4x^2-20x+25=25
5x^2 -20x=0
x=0 and y=5
x^2+y^2=25
2x+y=-5
(0, -5) plug into equation 1 and 2 but you have to find what second ordered pair fills in for x^2+y^2=25 which would be (-4, 3). Reasoning is that-
-4^2=16 and 3^2=9 so 16+9=25
The Correct answer is C (0, -5) and (-4, 3)
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