SOLUTION: Use the method of substitution to solve the system:(Enter your answer(s) as ordered pair(s). If there is more than one ordered pair, use commas between ordered pairs.)
xy=2
5x-
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Question 530089: Use the method of substitution to solve the system:(Enter your answer(s) as ordered pair(s). If there is more than one ordered pair, use commas between ordered pairs.)
xy=2
5x-y+9=0
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
xy = 2
y =
5x - y + 9 = 0
substitute 2/x for y
5x - + 9 = 0
Mult equation by x
5x^2 - 2 + 9x = 0
a quadratic equation
5x^2 + 9x - 2 = 0
Factors to
(5x - 1)(x + 2) = 0
two solutions
5x = 1
x = .2
and
x = -2
:
Find y when x = .2
.2y = 2
y = 2/.2
y = 10
Ordered pair, .2, 10
:
Find y when x = -2
-2y = 2
y = 2/-2
y = -1
Ordered pair -2, -1
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