Answer: One Solution (-3,-5) [tex]x=-3, y=-5[/tex]
Step-by-step explanation:
We are given a perfect set-up to use the elimination method. The top equation has a -4 as the coefficient y-term in the first equation and +4 coefficient on the bottom equation.
Solving:
Given: [tex]-x-4y=23, -3x+4y=-11[/tex]
Line them up and combine :
[tex]-x-4y=23[/tex]
[tex]-3x+4y=-11[/tex]
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[tex]-4x=12[/tex]
---- ----
[tex]-4[/tex] [tex]-4[/tex]
[tex]x=-3[/tex]
Now substitute into first equation to get y-value:
[tex]-x-4y=23[/tex]
[tex]-1(-3)-4y=23[/tex]
[tex]3-4y=23[/tex]
[tex]-4y=20[/tex]
---- ----
[tex]-4[/tex] [tex]-4[/tex]
[tex]y=-5[/tex]
That's it!
