Answer:
[tex]x=20; y=50[/tex] or [tex](20, 50)[/tex]
Step-by-step explanation:
Substitution means plugging in one variable's value that consists of the opposite variable. Because [tex]y=3x-10[/tex] is already specified, you can plug it into the second equation's [tex]y[/tex] value. After doing that, it looks like this:
[tex]-4x+2y=20→-4x+2(3x-10)=20[/tex]
Then you would distribute the [tex]3[/tex] across the parentheses next to it, like this:
[tex]-4x+2(3x-10)=20→-4x+6x-20=20[/tex]
Then, add like terms, like this:
[tex]-4x+6x-20=20→2x=40[/tex]
Then divide both side by [tex]2[/tex] to isolate [tex]x[/tex].
[tex]x=20[/tex]
Now, you can plug [tex]20[/tex] ([tex]x[/tex]) into either equation, but the first one seems simpler so you would pick that. It would look like this:
[tex]y=3x-10→y=3(20)-10[/tex]
Solving would look like this:
[tex]y=3(20)-10→y=60-10→y=50[/tex]
So the answer is [tex]x=20; y=50[/tex] or [tex](20, 50)[/tex].
