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Question

Solve the following systems of equations graphically:

2x − 3y + 13 = 0
3x − 2y + 12 = 0

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Solution

The given equations are:

Putting in equation we get:

Putting in equationwe get

Use the following table to draw the graph.

Draw the graph by plotting the two points from table.

Graph of the equation….

Putting in equationwe get:

Putting in equationwe get:

Use the following table to draw the graph.

Draw the graph by plotting the two points from table.

The two lines intersect at points P.

Hence, and is the solution.


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