Question

Q5. Solve the system of equations x – y = 1, 2x + y = 8 graphically .Shade the area bounded by these lines and x-axis. Also find its area.

Answer 1

Write the equation x-y=1  as

y = x - 1

and the equation 2x+y=8 as

y = -2x + 8

Choose any two value of x and use them to calculate the values of x.

Plot these points for both lines and join them using a straight line.

See the attached image

The two lines and the y-axis for a triangle with base = 9 units and height = 3 units

Area of triangle =  1/2 base x eight

                         = 1/2 x 9 x 3

                         = 13.5 sq. units

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