# Math Problems solver

A few years back, the only math problem solvers students could depend on were their math teachers. Times have changed and the internet is fast changing the way students learn. From online tutorials to virtual class rooms, the World Wide Web is revolutionizing education. Easily accessible with flexible schedules, online education is growing in popularity. Many students log on everyday to get help with lessons, homework and even engage with a live tutor for a tutoring session. College students will find online math solvers a very handy tool that covers everything that you will learn in college as well as high school math and algebra. This is great in case you ever need to refresh your memory. ## Math Problems Solver

Math solvers help students understand the subject and how to use formulae and form equations. Math word problems solvers assist with math word problems which take students some time to get used to. Many students log on everyday to get help with lessons, homework and even engage with a live tutor for a tutoring session. Online calculators provided with some websites are a quick way to cross check answers while the worksheets of practice questions provide plenty of problems for students to work with, whenever they want to.

## Solved Examples

Question 1: Find the value of  'a'  at x = 2 .

$\sqrt{2x + 3a}$ = 5
Solution:
Step 1:
Given equation

$\sqrt{2x + 3a}$ = 5

Step 2:
Squaring both side to remove the radical

=> 2x + 3a = 25

=> 3a = 25 - 2x    ......................(1)

Step 3:
Substituting x = 2 in equation (1),

=> 3a = 25 - 2 * 2

=> 3a = 25 - 4 = 21

=> a = 7

Question 2: Solve quadratic equation 6x2 + 25x - 25 = 0
Solution:
Given quadratic equation 6x2 + 25x - 25 = 0

=> 6x2 + 25x - 25 = 0

Factors the left hand side of the equation,

=> 6x2 + 30x  - 5x - 25 = 0

=> 6x(x + 5) - 5(x + 5) = 0

=> (6x - 5)(x  + 5) = 0

=> either 6x - 5 = 0  or  x + 5 = 0

=> 6x = 5

=> x = $\frac{5}{6}$

or x  = - 5

=> Solutions of equation are x = 0.83, - 5.

Question 3: Solve the system of equations
- 3 + 5x = y

2x + 5y = 12
Solution:
Given
- 3 + 5x = y

2x + 5y = 12

or

5x - y = 3          ................(1)

2x + 5y = 12      ...............(2)

Step 1:

No equation given solved for a variable, Equation (1) can be solved literal for y,

y = 5x - 3

Substituting the expression in equation (2)

=> 2x + 5(5x - 3) = 12

=> 2x + 25x - 15 = 12

=> 27x - 15 = 12

=> 27x = 12 + 15 = 27

=> x = 1

Step 2:

Substituting x = 1 in y = 5x - 3,

y = 5 x 1 - 3 = 5 - 3  = 2

=> y = 2

Hence the solution to the given system, x = 1 and y = 2.

## Math Solver Word Problems

Math problem solvers are a great way for students to receive help with math. Online math solvers solve questions and provide students with a step-by-step solution that will explain everything they need to know. Students in every grade can use math solvers to get the help they need and enjoy learning math. Students will also find problems of varying difficulty so they can choose the level they are comfortable with and start from there. Math and algebra problems become much simpler with math solvers, word problems included.

## Solved Examples

Question 1: The length of a rectangle is 20 more than twice is width. If the perimeter is 280 feet, how wide is the rectangle.
Solution:
Let width of the rectangle = x

then length = 2x + 20

(Length be 20 more than twice its width)

Perimeter = 280

We know, Perimeter of rectangle = 2(length + width)

=> 2(length + width) = 280

=> 2(2x + 20 + x) = 280

=> 2(3x + 20) = 280

=> 6x + 40 = 280

=> 6x = 240

=> x = 40 feet

=> Width of the rectangle = 40 feet.

Question 2: Macshon is now twice as old as Stefy, but five years ago, he was three times as old as she was. How old is Macshon now.
Solution:
Let the present age of Stefy = x

Macshon is twice as old as Stefy

=> Age of Macshon = 2x

Five years ago:

Age of Stefy = x - 5

and age of Macshon = 2x - 5

The problem states:

Macshon three times as old as Stefy was

=> 2x - 5 = 3(x - 5 )

=> 2x - 5 = 3x - 15

=> x = 10, age of Stefy

So age of Macshon = 2 * 10 = 20

Hence Macshon is of 20.