Answer: y = -1/2
Explanation:
Use the elimination method. When setting the equations up, you can see that the y values already cancel out. This makes it easy to find the x value.
3x+4y=4 3x+4y=4
2x-4y=6 -----> (-) 2x-4y=6
For the x value, you would get 2. 5x=10 therefore x=2.
Now that you have your x value, choose one of the original equations(either works). I chose 3x+4y=4. Now, substitute 2 into the x value then solve your equation for the y-value.
3x+4y=4 ---> 3(2)+4y=4
3(2)+4y=4 then becomes 4y=-2 and when you isolate the variable, you get -1/2.