Choose the correct graph of the given system of equations.

y + 2x = −1
3y − x = 4

graph of two lines that intersect at the point (negative 1, 1)
graph of two lines that intersect at the point (1, 1) < not
graph of two parallel lines with positive slopes
none of the above

Graph of two lines that intersect at the point (negative 1, 1).

Step-by-step explanation:

The given system of linear equations :

Multiply equation (1) by 3 , we get

Subtract equation (2) from (3), we get

Divide both sides by 7 , we get

x=-1

Put value of x in (1), we get

⇒ 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)

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step-by-step explanation:

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)