Solving an equation
Solving an equation implies that a value of the variable will be found such that LHS =RHS. Such a value of the variable is called solution of the equation.
In order to solve an equation, it is important to remember these points:
Thus if we fail to do the same mathematical operation on both sides of a balanced equation, the balance is disturbed.
These conclusions are also valid for equations with variables as, in each
Equation variable represents a number only.
Other than these following tips have to be kept in mind:
Problem: Solve the following equations:
Firstly, we will move to the other side. When we will do this, -1 will become +1. We get:
x-1=0
x=1
So, the solution to this equation is x =1.
Firstly, we will move -4 to the other side. When we do this, it will become -4. W get:
y+4 = -4
y =-4 -4
y= -(4+4)
y= -8
So, the solution to this equation is y = -8.
Firstly, we will move +12 to the other side. When we do this, it will become -12. We get:
3s +12 =0
3s = -12
Now, when we will take *3 to the other side, it will become /3.
s = -12/3
s = -4
So the solution to this equation is -4.
Problem: Solve the following equations:
Firstly, we will move *2 to the other side. When we do this, it will become /2. W get:
2(x+4) = 12
x+4 = 12/2
x+4= 6
Now, we will move +4 to the other side. When we do this, it will become -4.
x =6 - 4
x= 2
So, the solution to this equation is x = 2.
Firstly, we will transpose +34. When we do this it will become -34. We get:
34-5(p-1) =4
-5(p-1) =4-34
-5(p-1) = -30
Now, when we transpose *(-5) it will become /(-5).
(p-1) =-30/-5
p-1 =6
Now when we transpose -1 it will become +1.
p= 6+1
p=7
So, the solution to this equation is p=7.
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