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Question

Draw the graph for each equation given below; hence find the co-ordinates of the points where the graph drawn meets the co-ordinate axes:
13x+15y=1.

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Solution

13x+15y=1
5x+3y15=1
5x+3y=15
3y=155x
y=155x3
When x=0;y=155×03=1503=5
When x=3;y=155×33=15153=0
When x=3;y=155×(3)3=15+153=10
x 0 3 3
y 5 0 10
Plotting these points we get the required graph as shown below:
Hence, the graph meets the coordinate axes at (3,0) and (0,5).
1800664_1540100_ans_7c7a0fc92384468dbb102a00f4ed4347.png

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