Draw the graph of the pair of equations 2x + y = 4 and 2x – y = 4. Write the vertices of the triangle formed by these lines and the Y - axis, find the area of this triangle?

Question

Philoid · Accepted Answer

The given pair of linear equations

2x + y = 4

and 2x-y = 4

Table for line 2x + y = 4

x	0	2
	4	0
Points	A	B

and table for line

x	0	2
y	- 4	0
Points	C	B

Graphical representation of both lines.

Here, both lines and Y - axis from a .

Hence, the vertices of a ABC are A (0,4), B(2,0) and C(0,- 4).

∴ Required area of ABC Area of

ABC = sq. units.

Hence, the required area of the triangle is 8 sq units.