Question

Is (−9,4) a solution to this system of equations?

8x−11y=14
15x−3y=−13
a) Yes
b) No

Answer 1

The point (-9,4) does not satisfy either of the two given equations, therefore, it is not a solution to the system. The answer is b) No.

Step-by-step explanation:

To determine if the point (-9,4) is a solution to the system of equations 8x-11y=14 and 15x-3y=-13, we need to substitute x with -9 and y with 4 into both equations:

1. For the first equation: 8(-9) - 11(4) = -72 - 44 = -116, which does not equal 14, so the point does not satisfy the first equation.
2. For the second equation: 15(-9) - 3(4) = -135 - 12 = -147, which does not equal -13, so the point does not satisfy the second equation.

Since the point (-9,4) does not satisfy both equations, it is not a solution to the system of equations. Therefore, the correct answer is b) No.