Draw the graphs representing the equations `2x-y=2` and `4x+3y=24` on the same graph paper. Find thearea of the triangles formed by these lines, the X-axis and the Y-axis.

Explanation

`2x-y=2:.2x-2=y`
`:.y=2x-2`

`4x+3y=24 :.3y=24-4x`
`:.y=(24-4x)/3`

The lines intersect each other at the point (3,4).
From the graph (1) `DeltaABC` is formed by the two and the X-axis
2. `DeltaCDE` is formed by the two lines and the Y-axis.
(1) For `DeltaABC,AB=5` and the perpendicular drawn from point C on the X-axis is 4.
(2) For `DeltaCDE, DE=10` and the perpendicular drawn from point C on the Y-axis is 3.
`A(DeltaABC)=-1/2xx5xx4=10` sq. units.
`A(DeltaCDE)=1/2xx10xx3=15` sq. units.