PROBLEMS AND EQUATIONS.

PROBLEMS AND EQUATIONS

 

 

A has five times as many rupees as B and Rs.7 More.If A has in all Rs 67,how many rupees has B.

Rs. 5 x + Rs 7 = Rs 67

5 x + 7  = 67

This algebraical statement of the equality of two expressions is called an equation.The expression on the left hand side of the sign of equality is called the left –hand- side ( L.H.S.) of the equation while the expression on the right hand side of the sign of equality is called the right –hand-side (R.H.S) of the equation.

In an equation the unknown number is denoted by a letter.

The process of finding out the value of this letter so found is called the root of the equation.

 

Let solve

5 x+ 7= 67

5 x= 67-7

5 x= 60

X=60 / 5

X= 12

Thus B has Rs 12.

The solution of an equation is mainly based on following four rules

1.If equals be added to equals , the sums are equal.

2.If equals be subtracted from equals ,the remainders are equal.

3.If equals be multiplied by equals, the products are equal.

4. If equals be divided by equals , the quotients are equal.

We can transfer any term from one side of an equation to the other side simply by changing its sign.

 


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