Consider the following equation: 2x + 5 = 0
the root of the equation, is `-5/2`. This can be represented on the number line as shown below:
While solving an equation, you must always keep the following points in mind:
The solution of a linear equation is not affected when:
(i) the same number is added to (or subtracted from) both the sides of the equation.
(ii) you multiply or divide both the sides of the equation by the same non-zero number.
So, any equation which can be put in the form ax + by + c = 0, where a, b and c are real numbers, and a and b are not both zero, is called a linear equation in two variables.
Shaalaa.com | Linear Equation in 2 variables part 1
The path of a train A is given by the equation 3x + 4y − 12 = 0 and the path of another train
B is given by the equation 6x + 8y − 48 = 0. Represent this situation graphically.
Aarushi was driving a car with uniform speed of 60 km/h. Draw distance-time graph. From
the graph, find the distance travelled by Aarushi in
(1) ` 2 1/2` Hours (2) ` 1/2 ` Hour
Ravish tells his daughter Aarushi, “Seven years ago, I was seven times as old as you were
then. Also, three years from now, I shall be three times as old as you will be”. If present ages
of Aarushi and Ravish are x and y years respectively, represent this situation algebraically as
well as graphically.