Question

Draw the graph of the lines x-y=1 and 2x+y=8.shade the area formed by these two lines and the y-axis.also find this area

Answer 1

did you get the answer??

Answer 2

Answer:

The area of the triangle is 13.5 square units.

Step-by-step explanation:

Given : Equations $x-y=1$ and $2x+y=8$

To find : Draw the equations, shade the area formed by these two lines and the y-axis. Also find this area?

Solution :

Equation 1) $x-y=1$

Equation 2) $2x+y=8$

Equation 3) $x=0$ y-axis

Refer the attached figure below.

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

Area of the triangle is give by,

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

$A=\frac{1}{2}\times 9\times 3$

$A=13.5$

Therefore, The area of the triangle is 13.5 square units.