Question

$\huge\mathbb{\underline{Question}}$

Draw the graphs of the equations x-y = 1 and 2x +y = 8. Shade the area bounded by these two lines and y - axis. Also find the 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

=  $\frac{1}{2}$ base × eight

= $\frac{1}{2}$ × 9 × 3

= 13.5 sq.units

Answer 2

Answer:

see the attachments

Step-by-step explanation: