Answer: (4,9) [tex]x=4, y=9[/tex]
Step-by-step explanation:
Let's look at which variable is in terms of the other. Our first equation gives us [tex]y=[/tex] meaning that we substitute the y-value from the first equation to the second and solve for x.
Solving:
Given : [tex]y=4x-7, -6x-y=-33[/tex]
Substitute first equation into second(y for x):
[tex]-6x-y=-33[/tex]
[tex]-6x-(4x-7)=-33[/tex]
[tex]-10x+7=-33[/tex]
[tex]-10x=-40[/tex]
----- ----
[tex]-4[/tex]. [tex]-4[/tex]
[tex]x=4[/tex]
Now plug in x into the second equation to get the y-value :
[tex]y=4x-7[/tex]
[tex]y=4(4)-7[/tex]
[tex]y=9[/tex]
That's it!
