Easy Algebra

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We know algebra is a branch of math in which we can us e the letters to represents the numbers. In this we can use unknown letters; we can call these as variables. In algebra we have expression s and equations. Algebraic expression is a combination of letters or numbers formed according to the rules.

Example1: Find the value of x, if x + 10 = 25 – 2x.

Solution: The given equation is x + 10 = 25 – 2x

We can add the number – 10 on both sides of the equality

x + 10 – 10 = 25 – 2x – 10

We can write this as

x = 15 – 2x

Now we can add + 2x on both sides of the equality

x + 2x = 15 – 2x + 2x

we can write this as

3x = 15

Now we can divide this by 3

Then we get

x = 5

Example2: Find the value of y, if 19 – 3y = 4y – 9.

Solution: The given equation is  19 – 3y = 4y – 9

We can add the number 9 on both sides of the equality

19 – 3y + 9 = 4y – 9 +9

We can write this as 28 – 3y = 4y

Now we can add + 3y on both sides of the equality

28 – 3y + 3y = 4y + 3y

We can write this as 28 = 7y

Now we can divide this by 7

Then we get  4 = y

So the solution is y = 4
 
 

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