Answer:
(1,1)
Step-by-step explanation:
Since we have a defined variable, we can use substitution to solve.
If [tex]y=x[/tex], that means that we can substitute [tex]x[/tex] for anywhere we have [tex]y[/tex].
[tex]y=-3x+4[/tex]
[tex]x=-3x+4[/tex]
Then, we can combine like terms and simplify the equation to find [tex]x[/tex].
[tex](x+3x) = (-3x+3x) +4[/tex]
[tex]4x=4[/tex]
[tex](\frac{4x}{4}) = (\frac{4}{4})[/tex]
So, [tex]x=1[/tex].
[tex]y=x[/tex], therefore [tex]y[/tex] also equals 1.
Lines [tex]y=x[/tex] and [tex]y=-3x+4[/tex] meet at point (1,1).
