Answer:
x = 2
y = 5
Explanation:
Assuming you are solving for x, you should set both equations equal to each other:
4x-3 = -2x+9
Rearrange so that the terms with an x are on the same side of the equation:
4x+2x=9+3
Simplify:
6x=12
x = 12/6 = 2/1 = 2
You would stop here if only solving for x.
If you are solving both equations simultaneously, first rearrange them into the form x + y = constant:
4x -y = 3
-2x -y = -9
Next multiply the second equation by -1:
4x -y = 3
2x +y = 9
Add the equations together to eliminate y:
4x+2x=3+9
This results in x=2 as shown in the first solution method
To find y, plug in x=2 into either equation:
y=4(2)-3
y=8-3=5
To check, plug x=2 into the other equation:
y=-2(2)+9
y=-4+9=5