SOLUTION: This problem is not from a textbook. Solve the system. X2+y2=145 X+y=17 The answer choices are (9,8) (8,9) (-9,-8) (-8,-9) (-9,8) (-8,9) (9,-8) (8,-9)

Question 134398: This problem is not from a textbook. Solve the system.
X2+y2=145
X+y=17
The answer choices are
(9,8) (8,9)
(-9,-8) (-8,-9)
(-9,8) (-8,9)
(9,-8) (8,-9)

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the second equation

Subtract x from both sides

Now move onto the second equation

Plug in

Foil

Subtract 145 from both sides

Combine like terms

Factor the left side

Now set each factor equal to zero:
or

or Now solve for x in each case

So our x values are

or

Now plug in into

So the first ordered pair is (9,8)

-----------

Now plug in into

So the second ordered pair is (8,9)

------------------------------

Answer:

So the ordered pairs are
(9,8) and (8,9)

which means that the answer is A
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