What is the solution to the system of equations using the linear combination method {4x+y=5, 3x+y=8?

x = -3 and y = 17

Step-by-step explanation:

The given system of equations is

4x + y = 5 (1)

and 3x + y = 8 (2)

Now we subtract equation (2) from equation (1)

(4x+y) - (3x+y) = 5 - 8

(4x - 3x) + (y-y) = -3

x = -3

Now we put x = -3 in equation (1)

4(-3) + y = 5

-12 + y = 5

       y = 5 + 12 = 17

Therefore, x = -3 and y = 17 is the solution of the given system of equations.