Question

Draw the graph for the equation given below; hence find the co-ordinates of the points where the graph is drawn meets the co-ordinates axes:
`(1)/(3) x +(1)/(5) y = 1`.

Answer 1

`(1)/(3) x +(1)/(5) y = 1`

⇒ `(5x + 3y)/(15) = 1`

⇒ 5x + 3y = 15

⇒ 3y = 15 - 5x

⇒ y = `(15 - 5x)/(3)`

When x = 0;  y  = `(15 - 5 xx 0)/(3) = (15 - 0)/(3)` = 5

When x = 3;  y = `(15 - 5 xx 3)/(3) = (15 - 15)/(3)`  = 0

When x = -3;  y = `(15 - 5 xx (-3))/(3) = (15 + 15)/(3)` = 10

X	0	3	- 3
Y	5	0	10

Plotting these points we get the required graph as shown below:

From the figure it is clear that, the graph meets the coordinate axes at (3,0) and (0,5).