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Question

Solve the following systems of equations graphically:

x + y = 3
2x + 5y = 12

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Solution

The given equations are:

Putting in equation we get:

Putting in equation we get:

Use the following table to draw the graph.

0 3
3 0

Draw the graph by plotting the two points from table.

Graph of the equation:

Putting in equation we get:

Putting in equation we get:

Use the following table to draw the graph.

0 6
12/5 0

Draw the graph by plotting the two points from the table.

The two lines intersect at point P.

Hence, and is the solution.


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