Answer:
B. 2x + y = 4
Step-by-step explanation:
Having the system of equations in its simplest form
[tex]\left\{\begin{array}{ccc}ax+by=c\\dx+ey=f\end{array}\right[/tex]
If
[tex]a=d,\ b=e,\ c=f[/tex]
then the system of equations has infinitely many solutions.
If
[tex]a=d,\ b=e,\ c\neq f[/tex]
then the system of equations has no solution.
If
[tex]a\neq d\ or\ b\neq e[/tex]
then the system of equations has one solution.
We have the equation
[tex]y=-2x+4[/tex]
Convert to the standard form Ax + By = C:
[tex]y=-2x+4[/tex] add 2x to both sides
[tex]y+2x=-2x+2x+4\\\\2x+y=4[/tex]
