Answer:
-4
Step-by-step explanation:
There are many methods to solve this system of equations.
I will use the elimination method.
First step:
Multiply the first equation by -2
2(2x-3y) = -14(-2)
-4x + 6y = 28
Multiply the second equation by 3 so you can eliminate the y term
3(3x-2y) = -6(3)
9x-6y = -18
Second step: Add the equations vertically(Basically adding like terms)
-4x+6y = 28
+
9x - 6y = -18
5x = 10
Third step: Solve for x
x = 2
Substitute the x-value into any of the original equation to get the y value
3(x) - 2y = -6
3(2) - 2y = -6
6 - 2y = -6 (Since we are solving for y, it will be isolated and we will move 6 to the other side)
-2y = -6 - 6(Moving 6 to the other side makes it negative)
Solve for y by dividing by -2
y = 6
So (x, y) = (2, 6)
Since the question is asking to subtract x and y
2-6 = -4