# Problem Solver

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In math there are different kinds of problems to solve. There are many methods and techniques used for solving each kind of problem. Each sub topic in math has its own set of formulas and theorems used to solve a given problem. Problem solving can be improved by using the right method and formula in the given question.

Example 1: Solve for the variable x in the equation 5 x – 10 = 20?

Solution: Given equation is 5 x – 10 = 20.

Here the unknown variable which needs to be solved for is x.

First step: Adding 10 on both sides of the given equation.

(5 x – 10) + 10 = 20 + 10.

This gives 5 x = 30.

Now dividing both sided of the equation by 5.

This gives 5 x/ 5 = 30 / 5.

This reduces the given equation to x = 6.

Hence the solution is x = 6.

Example 2: Solve for the variable y in the equation 9 y – 7 = 20?

Solution: Given equation is 9 y – 7 = 20.

Here the unknown variable which needs to be solved for is y.

First step: Adding 7 on both sides of the given equation.

(9 y – 7) + 7 = 20 + 7.

This gives 9 y = 27.

Now dividing both sided of the equation by 9.

This gives 9 y/ 9 = 27 / 9.

This reduces the given equation to y = 3.

Hence the solution is y = 3.