We can solve linear equations consisting of 2 variables by taking value of one variable from one of the equation and putting into the other.

Let’s take an example. We have equations:

**(1)**

** (2)**

Using equation **(1)**, we can write value of variable **x **in the form of variable **y**.

**(3)**

In the second step, we just need to put equation **(3)** in the **(2)** equation. It will give us the value of variable **y**.

So, putting **(3)** in equation **(2)**, we get

Subtracting 5 from both sides, we get

Dividing both the sides by -2, we get

**(We get value of one variable at this point.)**

To get value of **x**, we just need to put value of **y** in **(1), ** **(2) or (3) equation.**

So, putting value of **y** in equation **(1)**, we get

Therefore, and **(This is the solution.)**

Let’s solve one more problem. We have equations:

**(1)**

**(2)**

Using equation **(2)**, we can write value of variable **x** in the form of variable **y**.

** (3)**

Putting **(3)** in equation **(1)**, we get

Putting value of **y** in equation **(1)**, we get

Therefore, and ** ( This is the solution.)**

In the first step, we can also write value of variable **y** in the form of variable **x**.