Find the solution of the system of equations.

6x + 8y = - 8

x + 4y = 4

(,)

the solution is (-4, 2)

Step-by-step explanation:

6x + 8y = - 8

x + 4y = 4

... can be solved using elimination by addition and subtraction, among other methods. Multiply the second equation by - 2 to obtain

6x + 8y = - 8

-2x - 8y = - 8

Combining these results in

4x = - 16. Thus, x = - 4.

Substituting - 4 for x in x + 4y = 4 results in

-4 + 4y = 4, or 4y = 8, or y = 2

Then the solution is (-4, 2)