Question

Solve
graphically the following fairs of
linear equation,
(2x-y= ч.
​

Answer 1

Answer:

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Answer 2

Answer:

Solution

The given pair of linear equations

Table for line 2x+y=4,

xy=4−2x Points04A20B

and table for line 2x-y=4,

xy=2x−4 Points0−4C20B

Graphical representation of both lines.

Here, both lines and Y-axis form a ΔABC.

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

∴ Required area of ΔABC=2×Area of ΔAOB

=2×12×4×2=8sq units

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