Answer: One Solution: (4,5) [tex]x=4,y=5[/tex]
Step-by-step explanation:
This equation has been set up to use the substitution method.
y-coefficients are the same value just opposite in sign, elimination would be the best way to go about solving and we would get x as a result.
Solving:
Given: [tex]x-3y=-11, -2x+3y=7[/tex]
Line them up and combine the two:
[tex]x-3y=-11\\[/tex]
[tex]-2x+3y=7[/tex]
-------------------
[tex]-x=-4[/tex]
---- -----
[tex]-1[/tex] [tex]-1[/tex]
[tex]x=4[/tex]
Now substitute x in the first equation to get y:
[tex]x-3y=-11[/tex]
[tex](4)-3y=-11[/tex]
[tex]-3y=-15[/tex]
---- -----
[tex]-3[/tex] [tex]-3[/tex]
[tex]y=5[/tex]
That's it!
