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Introduction To Euclid's Geometry

Question
CBSEENMA9002170

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

Solution

The given equation is 
         4x + 3y = 12
 
rightwards double arrow space space space space space space3y = 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.


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