Answer: Graph of two lines that intersect at the point (negative 1, 1).
Step-by-step explanation:
The given system of linear equations :
[tex]y+2x=-1---------(1)\\\\3y-x=4-------------(2)[/tex]
Multiply equation (1) by 3 , we get
[tex]3y+6x=-3-------------(3)[/tex]
Subtract equation (2) from (3), we get
[tex]6x+x=-3-4\\\\ 7x=-7[/tex]
Divide both sides by 7 , we get
x=-1
Put value of x in (1), we get
[tex]y+2(-1)=-1\\\\ y-2=-1\\\\ y=-1+2=1[/tex]
⇒ both lines are intersecting at (x,y)=(-1,1)
∴ The correct graph of the given system of equations : graph of two lines that intersect at the point (negative 1, 1)
