SOLUTION: Solve the following systems graphically and algebraically. -17x+18y = 89 -18x-11y = -26

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Question 1199811: Solve the following systems graphically and algebraically.
-17x+18y = 89
-18x-11y = -26

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Solve the following systems graphically and algebraically.
-17x+18y = 89
-18x-11y = -26
To graph the 1st equation
18y = 17x + 89
y =
To graph the 2nd equation
-11y = 18x - 26
y =
graphing these 2 equation, note they intersect at x =-1, y = 4

:
-17x+18y = 89
-18x-11y = -26
----------------Subtract
x + 29y = 115
x = -29y + 115
in the 2nd equation, replace x with (-29y+115)
-18(-29y+115) - 11y = -26
522y - 2070 - 11y + -26
522y - 11y = -26 + 2070
511y = 2044
y = 2044/511
y = 4
find x using the 1st equation, y = 4
-17x + 18(4) = 89
-17x + 72 = 89
-17x = 89 - 72
x = 17/-17
x = -1

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