Question

Which ordered pair is a solution to the system of linear equations Negative 4 x + y = 8 and x minus 5 y = 17?

Answer 1

Answer:

(-3, -4).

Step-by-step explanation:

-4x + y = 8

x - 5y = 17           Multiply this by 4:

4x - 20y = 68     Add this to the first equation:

-19y = 76

y = 76/-19

y = -4.

Plug this into the second equation:

x - 5(-4) = 17

x = 17 - 20

x = -3.

CHECK this result in equation 1:

-4(-3) + -4 =  8

12 - 4 = 8

8 = 8  <------ OK.