Question

Which ordered pair is a solution to the linear system? -4x - 5y= 12 6x+ 5y= 2

Answer 1

To find the solution to the system -4x - 5y = 12 and 6x + 5y = 2, we can use the elimination method. Adding the two equations eliminates y, so we get:

2x = 14

x = 7

Substituting x = 7 into either equation gives:

6(7) + 5y = 2

42 + 5y = 2

5y = -40

y = -8

So the solution to the system is (7, -8).