SOLUTION: x^2+y^2=25
x-2y=-5
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Question 194164This question is from textbook Algebra and Trigonometry: Structure and Method
: x^2+y^2=25
x-2y=-5
This question is from textbook Algebra and Trigonometry: Structure and Method
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
1) x^2 +y^2 =25
2) x-2y=-5,,,,,,x = 2y-5
subst
(2y-5)^2 + y^2 = 25
4y^2-20y+25 +y^2 -25 = 0
combining like terms
5y^2 -20y = 0
y ( 5y-20) = 0
y=0,,,,,,5y-20=0,, y = 4
subst in x =2y-5
x=-5,,,,,x=3
(-5,0),,,,,and (3,4)
checking
(-5,0) in 2) (-5)-2(0) = -5,,,ok
in 1) (-5)^2 +(0)^2 = 25,,,,,ok
,
( 3,4),, in 1) (3)^2 + (4)^2 = 25 ,,,,,,,ok
in 2) (3) - 2 (4) = -5,,,ok
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