Question

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

Answer 1

Answer:

The graph attached.

Area = 3 square unit.

Step-by-step explanation:

Given : Equation 1 - $x-y=1$

Equation 2-  $2x+y=8$

Equation 3 - x-axis y=0

To find : Plot the graph and find the area.

Solution : We had plot the graph of the equation (1),(2) and (3)

See the attached file below

The two equation meet the x-axis at point

Equation 1 - at the point B (1,0)

Equation 2- at the point C (4,0)

and the two equation meets at the point A (3,2)

To find the area of the triangle

$A=\frac{1}{2}\times b\times h$

From the graph , where height h=2 , base b=3

$A=\frac{1}{2}\times 3\times 2$

$A=3 unit^2$

Therefore, Area = 3 square unit.