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The rectangular coordinate system shows the graph of the equations in a system of equations. Use the graph to determine the number of solutions for the system. If the system has only one​ solution, give its coordinates.

The rectangular coordinate system shows the graph of the equations in a system of equations Use the graph to determine the number of solutions for the system If class=


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sqdancefan

Answer:

  A.  The only solution is (-2, 1).

Step-by-step explanation:

Given a graph of two lines, you want the number of solutions to the system of equations the lines represent.

Solution

The graph of an equation represents all of the points that satisfy that equation. When a system of equations has more than one equation, the set of points that satisfies all of the equations is the set of points where the graphs intersect (overlap) each other.

Here, the two straight lines intersect at exactly one point: (-2, 1). That one point represents the only solution to the system of equations.

The only solution is (-2, 1).

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