Draw the graph of the equation x + 2y – 3 = 0. From your graph, find the value of y when x = 5.
The given equation is,
x + 2y - 3 = 0
⇒ x = 3 - 2y
Putting y = 1, x = 3 - (2 × 1) = 1
Putting y = 0, x = 3 - (2 × 0) = 3
Thus, we have the following table:
x | 1 | 3 |
y | 1 | 0 |
Plot points (1,1) and (3,0) on a graph paper and join them to get the required graph.
Take a point Q on x-axis such that OQ = 5.
Draw QP parallel to y-axis meeting the line (x = 3 - 2y) at P.
Through P, draw PM parallel to x-axis cutting y-axis at M.
So, y = OM = -1.