Answer:
[tex]y=-3.43[/tex]
Step-by-step explanation:
Step 1: Make x by themselves for both equations
[tex]-3x+4y=12\\4y-12=3x\\x=\frac{4}{3}y-4[/tex]
[tex]y=-x-4\\x=-y-4[/tex]
Step 2: Make them equal each other, filling in the x value
[tex]\frac{4}{3}y+3=-y-4[/tex]
Step 3: Solve for y
[tex](\frac{4}{3}y+3=-y-4)3\\4y+12=-3y-12\\7y=-24\\y=-3.42857142857[/tex]
Step 4: Simplify as needed; I usually round to the nearest hundredth, so that's what I'll do here.
[tex]y=-3.42857142857\\y=-3.43[/tex]
