Some Important points related to Linear Equations
Solving Equations which have Linear Expressions on one Side and Numbers on the other Side
There are two methods to solve such type of problems –
1. Balancing Method
In this method, we have to add or subtract with the same number on both the sides without disturbing the balance to find the solution.
Find the solution for 3x – 10 = 14
Step 1: We need to add 10 to both the sides so that the numbers and variables come on the different sides without disturbing the balance.
3x – 10 +10 =10+14
3x = 24
Step 2: Now to balance the equation, we need to divide by 3 into both the sides.
x = 8
So x = 8 is the solution of the equation.
2. Transposing Method
In this method, we need to transpose or transfer the constants or variables from one side to another until we get the solution. When we transpose the terms the sign will get changed.
Find the solution for 2z + 10 = 4.
Step 1: We transpose 10 from LHS to RHS so that all the constants come in the same side.
2z = 4 -10 (sign will get changed)
2z = -6
Step 2: Now divide both the sides by 2.
z = – 3
So z = -3 is the solution of the equation.