Answer:
(-2/9, -46/9)
Explanation:
I assume you want to solve the system of equations? There are two ways you can do this: substitution and elimination.
Let's try substitution first. Solving for y in the second equation is easy, so let's start there.
5x − y = 4
5x = 4 + y
5x − 4 = y
Now substitute this into the first equation:
8x + 2y = -12
8x + 2(5x − 4) = -12
8x + 10x − 8 = -12
18x = -4
x = -2/9
y = 5x − 4
y = 5(-2/9) − 4
y = -10/9 − 4
y = -10/9 − 36/9
y = -46/9
That's one way. Now let's try using elimination. Double the second equation:
2(5x − y) = 2(4)
10x − 2y = 8
Now add to the first equation:
(8x + 2y) + (10x − 2y) = -12 + 8
18x = -4
x = -2/9
Plug into any equation to find y.
5x − y = 4
5(-2/9) − y = 4
-10/9 − y = 4
-10/9 − 4 = y
y = -46/9