ANSWER
D. 6
Step-by-step explanation
We want to find the y-coordinate of the point of intersection of
-3x+2y=6
and
4x-y=2
Solve for y in equation (2) to get:
y=4x-2
Put y=4x-2 into the first equation:
-3x+2(4x-2)=6
-3x+8x-4=6
-3x+8x-4=6
![5x=10](https://img.qammunity.org/2020/formulas/mathematics/high-school/fmw5sq4yoz9rzmdcn8do8eu03h48wrio39.png)
Divide both sides by 5 to get
x=2
This implies that:
y=4(2)-2
y=8-2=6