Find three different solutions of the equation: 4x + 3y = 12, from its graph.

The given equation is

4x + 3y = 12

$rightwards double arrow space space space space space space$ 3y = 12 - 4x

$rightwards double arrow$ $straight y space equals space fraction numerator 12 minus 4 straight x over denominator 3 end fraction space space space space.... left parenthesis 2 right parenthesis$

Table of solutions

X	3	0
y	0	4

We plot the points (3, 0) and (0, 4) on a graph paper and join the same by a ruler to get the line which is the graph of the equation 4x + 3y = 12.

The given equation is 4x + 3y = 12 3y = 12 - 4x

Three different solutions of the equation 4x + 3y = 12 from the graph are (0, 4), (3, 0) and (6, –4).

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