8/16/2019 Examples ch-4

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Example 1 : Write each of the following equations in the form ax + by + c = 0 and

indicate the values of a, b and c in each case:

(i) 2 x + 3 y = 43! (ii) x " 4 = (square root of 3) y (iii) 4 = # x " 3 y (iv) 2 x = y

Example 2 : Write each of the following as an equation in two varia$les:(i) x = "# (ii) y = 2 (iii) 2 x = 3 (iv) # y = 2

Example 3 : %ind four different solutions of the equation x + 2 y = &

Example 4 : %ind two solutions for each of the following equations:

(i) 4 x + 3 y = '2

(ii) 2 x + # y = 0

(iii) 3 y + 4 = 0

Example 5 : iven the oint (', 2), find the equation of a line on which it lies *ow

man such equations are there

Example 6 : -raw the grah of x + y = !Example 7 : .ou /now that the force alied ona $od is directl roortional to the acceleration

 roduced in the $od Write an equation to eress this situation and lot the grah of the equation

Example 8 : %or each of the grahs given in %ig 4# select the equation whose grah

it is from the choices given $elow:

(a) %or %ig 4# (i),(i) x + y = 0 (ii) y = 2 x (iii) y = x (iv) y = 2 x + '

($) %or %ig 4# (ii),(i) x + y = 0 (ii) y = 2 x (iii) y = 2 x + 4 (iv) y = x " 4

(c) %or %ig 4# (iii),(i) x + y = 0 (ii) y = 2 x (iii) y = 2 x + ' (iv) y = 2 x " 4

Example 9 : 1olve the equation

2 x + ' = x " 3, and reresent the solution(s)

on (i) the num$er line,(ii) the artesian lane