What is the solution?y= - x + 4 y= 4 x - 6

Given:
[tex]\begin{gathered} y=-x+4------(1) \\ y=4x-6------(2) \end{gathered}[/tex]Required:
To find the solution.
Explanation:
Subtract (1) - (2), we get
[tex]\begin{gathered} y-y=-x-4x+4-(-6) \\ \\ 0=-5x+10 \\ \\ 5x=10 \\ \\ x=\frac{10}{5} \\ \\ x=2 \end{gathered}[/tex]Now put x in equation (1), we get
[tex]\begin{gathered} y=-2+4 \\ y=2 \end{gathered}[/tex]Final Answer:
The option B is correct.
[tex](2,2)[/tex]