Example of solving Linear Equations in Two Variable

Introduction:

Solving linear equations in two variables is a process of finding the value of the unknown quantity for which the equation is true. The value so found is called the root or solution of the equation. The process of finding the value of the unknown quantity for which the equation is true, is called solving the equation. The value so found is called the root or solution of the equation.

An equation whose graph is a straight line is called a linear equation. (linear means straight). An equation of degree one is linear equation in one variable and with two variables is called as linear equation in two variable.

Example of solving Linear Equations in Two Variable

Example 1:

x = 1, y = 1 is a solution of 2x + 3y = 5

2(1) + 3(1) = 5

x = -2, y = 3 is also a solution of 2x + 3y = 5

2(-2) + 3(3) = 5

-4 + 9 = 5

Similarly, we can find many more solutions for 2x + 3y = 5

Example 2:

Find four solutions of the equation 2x + y = 5.

2x + y = 5

y = 5 - 2x

Put x = 0, y = 5

x = 1, y = 5 - 2 = 3

x = 2, y = 5 - 4 = 1

x = 3, y = 5 - 6 = -1

Hope you like the above explanation, Please leave your comments, if you have any doubts.