SOLUTION: Solve the following system of equations.
x^2+y^2=34
y+2x=7
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Question 386346: Solve the following system of equations.
x^2+y^2=34
y+2x=7
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Since y = 7 - 2x, we can now substitute to obtain a quadratic expression in terms of x:
(apparently, this luckily factors out)
or
From this, we conclude y = -3 and y = 29/5, respectively. Checking, both of the ordered pairs satisfy both equations (they should, since a circle and a line normally intersect at two points).
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