Which answer describes the graph of the system of equations?

{y=4-x
{2y=8-2x

A) the point of intersection is (0,4)

B) the point of intersection is (4,0)

C) the lines are parallel

D) the lines coincide

For a system of the equation to be a Dependent Consistent System, the system must have multiple solutions for which the lines of the equation must be coinciding. The correct option is D.

What is a System of equations?

Inconsistent System

For a system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

For a system of the equation to be a Dependent Consistent System, the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

For a system of the equation to be an Independent Consistent System, the system must have one unique solution for which the lines of the equation must intersect at a particular.

The graph of the given system of equations can be drawn as shown below therefore, It can be concluded that the lines coincide. Hence, the correct option is D.

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Which answer describes the graph of the system of equations? {y=4-x {2y=8-2x A) the point of intersection is (0,4) B) the point of intersection is (4,0) C) the lines are parallel D) the lines coincide

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What is a System of equations?

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Which answer describes the graph of the system of equations?

{y=4-x
{2y=8-2x

A) the point of intersection is (0,4)

B) the point of intersection is (4,0)

C) the lines are parallel

D) the lines coincide