Answered

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

Verified Answer :

JeanaShupp

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

Step-by-step 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)

mayojya

Answer:

(-1,1) One solution

Step-by-step 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.

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