Answer:
[tex]\sf 1) 3x-2y=-16[/tex]
subtract both sides by 3x:
[tex]\sf -2y=-16-3x[/tex]
[tex]\sf \cfrac{-2y}{-2} =\cfrac{3x-16}{-2}[/tex]
[tex]\boxed {\sf y=\frac{3}{2}x +8}[/tex]
________________
[tex]\sf 2) 13x-11y=-12[/tex]
Subtract 13x from both sides:
[tex]\sf 13x+11y-13x=-12-13x[/tex]
[tex]\sf \cfrac{-11y}{-11} =\cfrac{-12-13x}{-11-11}[/tex]
[tex]\boxed {\sf y=\cfrac{13}{11} \:x+\cfrac{12}{11} }[/tex]
___________________
[tex]\sf 3) 9x-7y=-7[/tex]
Subtract 9x from both sides:
[tex]\sf \cfrac{-7y}{-7} =\cfrac{9x-7}{-7}[/tex]
[tex]\boxed {\sf y=\cfrac{9}{7} \:x+1}[/tex]
___________________
[tex]\sf 4)x-3y=6[/tex]
Add 3y from both sides:
[tex]\sf x-3y+3y=6+3y[/tex]
[tex]\sf x=6+3y[/tex]
Subtract 6 from both sides:
[tex]\sf x-6=3y[/tex]
Divide both sides by 3:
[tex]\sf \cfrac{x}{3}-\cfrac{6}{3} =\cfrac{3y}{3}[/tex]
[tex]\sf \cfrac{1}{3} \:x-2=y[/tex]
[tex]\boxed {\sf y=\cfrac{1}{3} \:x-2}[/tex]
____________________
[tex]\sf 5) 6x+5y=-15[/tex]
Subtract 6x from both sides:
[tex]\sf \cfrac{5y}{5}=\cfrac{-6x-15}{5}[/tex]
[tex]\boxed {\sf y=-\cfrac{6}{5} \:x-3 }[/tex]
_____________________
[tex]\sf 6) 4x-y=1[/tex]
Subtract 4x from both sides:
[tex]\sf \cfrac{-y}{-1} =\cfrac{-4x+1}{-1}[/tex]
[tex]\boxed {\sf y=4x-1}[/tex]
_______________________
[tex]\sf 7)11x-4y=32[/tex]
Subtract 11x from both sides:
[tex]\sf \cfrac{-4y}{4} =\cfrac{-11x+32}{-4}[/tex]
[tex]\boxed {\sf y=\frac{11}{4} \:x-8}[/tex]
_______________________
[tex]\sf 8) 11x-8y=-48[/tex]
Subtract 11x from both sides:
[tex]\sf \cfrac{-8y}{-8} =\cfrac{11-48}{-8}[/tex]
[tex]\boxed {\sf y=\frac{11}{8} \:x+6}[/tex]
________________________________
