Answer:
(17, -12)
Step-by-step explanation:
The system of equations is
7x +5y = 59
3x - 9y = 159
An ordered pair satisfies the system if it satisfies both equations. So, for each option we need to replace the ordered pair on the given equations.
For (x, y) = (-17, -12)
7x +5y = 59
7(-17) + 5(-12) = 59
-119 - 60 = 59
-179 = 59
The equality is not satisfied, so (-17, -12) is not a solution to this system
For (x, y) = (-17, 12)
7x +5y = 59
7(-17) + 5(12) = 59
-119 + 60 = 59
-59 = 59
The equality is not satisfied, so (-17, 12) is not a solution to this system
For (x, y) = (17, -12)
7x +5y = 59
7(17) + 5(-12) = 59
119 - 60 = 59
59 = 59
3x - 9y = 159
3(17) - 9(-12) = 159
51 + 108 = 159
159 = 159
Since both equations are satisfied, so (17, -12) is a solution to the system of equations
Therefore, the answer is (17, -12)