Answer:
x = -2; y = 5
Step-by-step explanation:
-3x - y = 1
3x + 2y = 4
The elimination method uses addition of the equations to eliminate a variable. Look at your two equations. The first one has the x-term -3x. The second has the x-term 3x. When you add -3x and 3x you get zero, so the x-term is eliminated. Just add the equations.
-3x - y = 1
(+) 3x + 2y = 4
-------------------------
y = 5
Now that we know y = 5, we substitute 5 for y in either equation and solve for x. Let's use the second equation.
3x + 2y = 4
3x + 2(5) = 4
3x + 10 = 4
3x = -6
x = -2
Answer: x = -2; y = 5
