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Question

Draw the graphs of equations 2y + x = 7 and 2x + y = 8. Write the co-ordinates of the point of their intersection.

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Solution

2y + x = 7

The table with the values of x and y satisfying the given equation is shown below:
x 3 1
y 2 3

2x + y = 8

The table with the values of x and y satisfying the given equation is shown below:
x 3 2
y 2 4

The graph of the lines is given below:-



Coordinates of the point of intersection, i.e. P are (3,2).

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