# Addition Method of Linear Equations

Hello friends,Previously we have discussed about math problem solver with steps for free and in this blog we are going to discuss about **Addition Method of Linear Equations**. We know that a linear equation is an equation that is represented in the form ax+by+c =0, where a, b, c are real numbers.

**Linear equations** can have two and more variables. Let us take some examples of **Adding Linear equations** to.

Example 1 :- solve the following equations by addition linear method

4 a + b = 15

3 a – b = 10

solution :-

step 1 :- the given system of equation is written as follows

4 a + b = 15

3 a – b = 13

………………………..

=> 7 a = 28 ( adding both equations as b variable in the equations has the opposite signs and so it will be cancel out )

step 2 :- now, we can calculate the value of a variable and get the value of a that is 7 a = 28

a = 28 / 7 = 4

putting the a = 4 in equation (1) we have

step 3:- 4 (4) +b = 15

step 4:- 16 + b =15

step 5:- b = 15 – 16

step 6 :- b = -1

Then the solution is ( a, b ) = ( 4, -1 )

Now, to check if this answer is correct, put the value of a as equal to 4 in equation (2) we have

step 1:- 3 (4) – b = 13

step 2:- – b = 12 -13,

step 3:- – b = -1

Then the solution is ( a, b ) = ( 4, -1 )

thus, satisfying both the equations of the given system.

In the next session we will discuss about Linear Equation in Two Variables and You can visit our website for getting information about what is a linear equation and ncert notes.

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