what is linear equations is
Answers
Answer:
Linear equations are equations of the first order. These equations are defined for lines in the coordinate system. An equation for a straight line is called a linear equation. The general representation of the straight-line equation is y=mx+b, where m is the slope of the line and b is the y-intercept.
Definition:
An equation which involves a variable with the highest power 1 is called a linear equation.
Forming a problem in the form of a linear equation is very useful to solve problem easily. Some practical examples are given below.
Examples:
1. Suppose the age of father is three times that of his son and the sum of their ages is 60 years. What will be the ages of father and son?
For this, we suppose the age of son be x years, then the age of father will be 3x years.
According to given condition.
3x + x = 60
Now, we will solve this equation and find out answer.
2. Similarly if the perimeter of a garden is given and a relation between sides is given, then we will form the equation and find the length and breadth of the garden.