### Linear Equations In Two Variables

You have solved linear equation with one variable. Now it’s time to learn how to solve the equation with two variables.

Consider the equations below:

*x + 2y + 4 = 0 , 3x + 4y = 18 , 5u – 6v = 11 *

Here you see that there are two variable, i.e. *x* and *y* , whose values are unknown. In earlier post I have given one equation, i.e. *ax – b = 0 *, similarly here is one equation *ax + by + c = 0* where *a ≠ 0 , b ≠ 0. *

Now we will learn how to solve these equation given above:

Let us take this equation * 3x + 4y = 18 , *to solve this equation you have to use trial and error method. When you do trial and error you get *x = 2* and *y = 3 *. If you do more trial and error method you get many solutions of this, one is that I have give first and another is* x = 6* and *y = 0 *. This shows that *linear equations in two variable can have infinite number of solutions. *