Question

Draw the graph of the equation, 2x - 3y = 5.

From your graph, find (i) the value of y when x = 4 and (ii) the value of x when y = 3.

Answer 1

Given equation :
2x - 3y = 5⇒ 2x = 3y + 5

⇒$x=\frac{3y+5}{2}$
When, $y=-1,x=\frac{-3+5}{2}=1$
When, $y=-3,x=\frac{-9+5}{2}=-2$
Plot the points (-2, -3) , (1,-1) on the graph paper and extend the line in both directions.
(i) When x = 4:

plot a point A on x-axis such that OA =4. Draw a parallel line to y-axis to meet the given line at B. Draw a parallel line to x-axis to meet y-axis at C.

OC = y = 1

(ii) When y = 3:
following the similar procedure as above, we get

x=7