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Linear equation is basically defined the linear characteristic of the function in this case the function varies linearly. Examples of linear equation are given below:-
Y = x + 4
Y = x
Y = 3 x
The above defined examples are one of the suitable examples of linear equation. These examples can also be defined by the graphical representation. In short, linear equation helps us to understand the graph of linearly function. Generally linear equation are of two types, one type is linear equation in one variable other is linear equation in two variables. This can be clear by following examples.
Question 1:- Find the value of x if 3x + 4 is equal to 10
Solution 1:- Given, 3x + 4 = 10
Firstly we need to subtract 4 from both sides
3x + 4 -4 = 10 – 4
3x = 6
Now to find out value of x, divide both sides by 3
3x/3 = 6/3
So x = 2
Question 2:-Find the value of x if 4x + 6 is equal to 10 + 2x
Solution 2:- Given, 4x + 6 = 10 +2x
So 4x – 2x +6 is equal to 10
2x + 6 = 10
Firstly we need to subtract 6 from both sides
2x + 6 - 6 = 10 – 6
2x = 4
Now to find out value of x, divide both sides by 2
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