Answer:
9. x=-6, y=0
10. x=-9, y=-10
11. x=3, y=-1
Step-by-step explanation:
[tex]2x-9y=-12\\3x+18y=-18[/tex]
Multiply the first equation by 2.
[tex]4x-18y=-24\\3x+18y=-18[/tex]
Add the equations.
[tex]7x=-42[/tex]
[tex]x=-6[/tex]
We figured out x now we have to figure out y. To figure out y plug in x into any equation.
[tex]2(-6)-9y=-12[/tex]
[tex]-12-9y=-12[/tex]
[tex]-9y=0[/tex]
[tex]y=0[/tex]
Your answer is x = -6 and y = 0 for number nine.
[tex]6x+3y=24\\2x+3y=-12[/tex]
Change the signs of the second equation becuase 3y and 3y are both positive. We need one of them to be negative.
[tex]6x+3y=24\\-2x-3y=12[/tex]
Add them.
[tex]4x = 36[/tex]
[tex]x=9[/tex]
Now we have to figure out y.
[tex]2(9)+3y=-12[/tex]
[tex]18+3y=-12[/tex]
[tex]3y=-30[/tex]
[tex]y=-10[/tex]
x=-9 and y=-10 is your answer to number ten.
[tex]10x+5y=25\\-7x-3y=-18[/tex]
[tex]30x+15y=75\\-35x-15y=-90[/tex]
[tex]-5x=-15[/tex]
[tex]x=3[/tex]
[tex]-7(3)-3y=-18[/tex]
[tex]-21-3y=-18[/tex]
[tex]-3y=3[/tex]
[tex]y=-1[/tex]
x=3 and y=-1 is the answer to number eleven. I hope this helps! Let me know if I got anything wrong.
