Answer:
(-2, -4)
Step-by-step explanation:
Since both equations are equal to y, you can set them equal to each other:
[tex]\frac{3}{2}x-1=\frac{1}{2}x-3[/tex]
Next, solve for x:
[tex]\frac{3}{2}x-1=\frac{1}{2}x-3\\x-1=-3\\x=-2[/tex]
Finally, substitute the solution for x in one of the equations (or both) to find y:
[tex]y=\frac{3}{2}(-2)-1\\y=-3-1\\y=-4[/tex]
[tex]y=\frac{1}{2}(-2)-3\\y=-1-3\\y=-4[/tex]
Therefore, the solution to the system of equations is (-2, -4).
