-5x + 7y = 67
11x + 12y = 17
What is the solution for the system of equations above?
Responses
A x = 5, y = -6x = 5, y = -6
B x = -5, y = 6x = -5, y = 6
C x = -6, y = 4x = -6, y = 4
D x = -6, y = -4
To solve the system of equations:
1) Multiply the first equation by 11, and the second equation by -5 to eliminate the x term:
-55x + 77y = 737
-55x - 60y = -85
2) Add the two equations together to eliminate the x term:
(77y + (-60y)) = (737 + (-85))
17y = 652
y = 38
3) Substitute the value of y back into one of the original equations to solve for x:
-5x + 7(38) = 67
-5x + 266 = 67
-5x = -199
x = 39.8
The solution to the system of equations is x = 39.8, y = 38, which is not one of the given options. Therefore, none of the options A, B, C, or D is correct.