Question

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

Answer 1

(-1,1) One solution

Explanation:

Use these steps for the equations:

1) Rewrite the equation in slope intercept form.

2) Graph the first equation.

3) Graph the second equation.

4) Identify the point of intersection.

Answer 2

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

Explanation:

The given system of linear equations :

`y+2x=-1---------(1)\\\\3y-x=4-------------(2)`

Multiply equation (1) by 3 , we get

`3y+6x=-3-------------(3)`

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

`6x+x=-3-4\\\\ 7x=-7`

Divide both sides by 7 , we get

x=-1

Put value of x in (1), we get

`y+2(-1)=-1\\\\ y-2=-1\\\\ y=-1+2=1`

⇒ 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)