Answer: (2,2)
Explanation:
-x-y = -4
-2x + 4y = 4 To solve using the elimination method you will have to eliminate one of the variables, either x or y. To eliminate x we will have to multiply the top equation by -2 to get a new equation.
-2(-x -y) = -2(-4)
2x + 2y = 8 The new equation.
Now using the new equation, add it to the bottom equation.
+ 2x + 2y = 8
-2x + 4y = 4
0 + 6y = 12
6y = 12 Now divide each side by 6 to solve for y.
y = 2
Since y is 2, we will plot it into one of the equations and solve for x.
We will use the first equation and remember, it will work for any of the two equations, 2x +2y =8 and -2x + 4y = 4
2x + 2(2) = 8
2x + 4 = 8 Subtract 4 from both sides .
-4 -4
2x = 4
x= 2