Help Solve Math Problems

The internet is a great way to find math help for any grade. Online math tutors help solve math problems that you can’t solve yourself. Online tutors work with students individually so that you can focus on areas that you need help with. The one-on-one time gives students the freedom to ask all the questions they want, without worrying about having to keep up with others. With online help, you can solve math problems  in minutes and brush up on the theory too. Math helpers focus on ensuring that students understand both the theory and  the steps behind each problem.

Help Me Solve a Math Problem

Get help any time you want with online math helpers who are experienced and experts in their field. Solve word math problems in a jiffy using tips and hints provided by math help sites. Work on the free practice worksheets to help solve math problems faster. Online discussion forums are a great source of information as you can learn from the questions and doubts posted by other users.

Solved Examples

Question 1: Verify that |x + y|  $\leq$  |x| + |y| for x = $\frac{-4}{7}$, y = $\frac{-4}{3}$
Solution:
Since x = $\frac{-4}{7}$, y = $\frac{-4}{3}$

Step 1:
|x + y| = | $\frac{-4}{7}$ + $\frac{-4}{3}$|

= |$\frac{-12 - 28}{21}$|

= |$\frac{-40}{21}$|

= $\frac{40}{21}$

=> |x + y| = $\frac{40}{21}$

Step 2:
|x| + |y| = |$\frac{-4}{7}$| + |$\frac{-4}{3}$|

=  $\frac{4}{7}$ + $\frac{4}{3}$

= $\frac{12 + 28}{21}$

= $\frac{40}{21}$

=> |x| + |y| = $\frac{40}{21}$

Therefore |x + y|  =  |x| + |y|, is true for x = $\frac{-4}{7}$, y = $\frac{-4}{3}$.

Question 2: Express $0.\bar{28}$ as a rational number.
Solution:
Given rational number is $0.\bar{28}$

Step 1:

Multiply $0.\bar{28}$ by 1

1 * $0.\bar{28}$ = 0.28282828............                                 ................................(1)

Multiply $0.\bar{28}$ by 100

100 * $0.\bar{28}$ = 28.2828282.........                                .................................(2)
(Decimal two places right)

Step 2:

Subtract (1) from (2)

100 * $0.\bar{28}$ - (1 * $0.\bar{28}$) = 28.2828282......... -  0.28282828............

or (100 - 1)$0.\bar{28}$ = 28

or 99 * $0.\bar{28}$ = 28

=> $0.\bar{28}$ = $\frac{28}{99}$.

=> $0.\bar{28}$ is a rational number.

Question 3: Solve $\frac{11}{7}$ = x + y and $\frac{11}{2}$ = -x + y
Solution:
Given equations
$\frac{11}{7}$ = x + y                      .....................(1)

$\frac{11}{2}$ = -x + y                    .......................(2)

Step 1:

=> x + y - x + y = $\frac{11}{7}$ + $\frac{11}{2}$

=> 2y = $\frac{22 + 77}{14}$

=> 2y = $\frac{99}{14}$

=> y = $\frac{99}{28}$

Step 2:

Put the value of y in (1)

=> $\frac{11}{7}$ = x + $\frac{99}{28}$

=> x = $\frac{11}{7}$ - $\frac{99}{28}$

=> x = $\frac{44 - 99}{28}$

=> x = $\frac{-55}{28}$

Answer: x = $\frac{-55}{28}$ and y = $\frac{99}{28}$.