Draw the graph of the equation 2x - 3y = 5. From the graph, find (i) the value of y when x = 4, and (ii) the value of x when y = 3.
The given equation is, 2x - 3y = 5
∴y =
Now, if x = 4, then
y = =
= 1
And, if x = -2, then
y = =
= -3
Thus, we have the following table:
x | 4 | -2 |
y | 1 | -3 |
Plot points (4,1) and (-2,-3) on a graph paper and join them to get the required graph.
(i) When x = 4, draw a line parallel to y-axis at a distance of 4 units from y-axis to its right cutting the line at Q and through Q draw a line parallel to x-axis cutting y-axis which is found to be at a distance of 1 units above x-axis.
Thus, y = 1 when x = 4.
(ii) When y = 3, draw a line parallel to x-axis at a distance of 3 units from x-axis and above it, cutting the line at point P. Through P, draw a line parallel to y-axis meeting x-axis at a point which is found be 7 units to the right of y axis.
Thus, when y = 3, x = 7.