## Thursday, 7 June 2012

### System of Equation

Free Math Education (Algebra Math) Students learn to solve systems of equations by substitution by first isolating a variable in one of the equations in the system, then substituting its value for the corresponding variable in the other equation. You can also learn to solve the equations by the method of their choice using the following rules:
if one of the variables cancels out when the equations are added together, then use addition, and if a variable is already isolated in one of the equations, use substitution method.

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## Slope of a line

Process to find the slope of a line:
• We can take any two point on a line.
• Find the vertical change or change in y coordinate.
• Find the horizontal change or change in x coordinate.
• Find the ratio of these changes i.e. m = rise/run

Slope = change in coordinate y / change in x coordinate

We have basically 4 types of slopes. These are:

Zero Slope: In this case the line is parallel to the x axis, The value of x is change or increased, the value of y remains constant or unchanged.
Positive Slope: In this case as the values of x increase, the value of y is also increased and the slope of a line is positive.
Negative Slope: In this case as the values of x increase, the value of y is decreased and the slope of a line is negative.
No slope: In this case the line is parallel to the y axis, The value of y is change or increased, the value of x remains constant or unchanged.

More Help : Free Algebra Math Help

# The Slope and Intercept of a Line

The slope of a line is the ratio of change in a vertical distance over the change in a horizontal distance. It is denoted by m.

Process to find the slope of a line:

• We can take any two point on a line.
• Find the vertical change or change in y coordinate.
• Find the horizontal change or change in x coordinate.
• Find the ratio of these changes i.e. m = rise / run

We have basically 4 types of slopes. These are:

Zero Slope: In this case the line is parallel to the x axis, The value of x is change or increased, the value of y remains constant or unchanged.

Positive Slope: In this case as the values of x increase, the value of y is also increased and the slope of a line is positive.

Negative Slope: In this case as the values of x increase, the value of y is decreased and the slope of a line is negative.

No slope: In this case the line is parallel to the y axis, The value of y is change or increased, the value of x remains constant or unchanged.

## Positive and Negative Integers

"The Integers" is a part of real numbers.

The Integer is a whole number, i.e. if the number is greater than 0 (zero) called the Positve Integers and those numbers less than zero called the Negative Integers. Zero is neither positive nor negative.

For every Positive Integer, there's exist a Negative Integer whihc is equal distance from the origin (0).
Two integers that lie the same distance from the origin and located in opposite directions from the orign are called the opposites. For example, "positive 9" (+9) is the opposite of "negative 9." (-9).

## Orthocenter of a Triangle ABC

How to Find the orthocenter of a Triangle

The orthocenter of a triangle is where all of the altitudes of a triangle meet each other.

The altitude is a perpendicular line segment from a vertex of a triangle to the opposite side (Vertex A to side BC).

To draw the orthocenter, first You draw the triangle on a coordinate plane and draw all three altitudes (one from each vertex of the triangle) and determine the point at which they all intersect. This intersection is a orthocenter of a Triangle ABC.

## Substitution Method

Calculate value of x and y: Equations are y-x = 3 and 2(x + y) = 14

Solution:
In substitution method, we have a given equation of two variables, x and y.
First, divide in second equation by 2 in both sides.
x + y = 4 …. (1)
y – x = 3 => y = x + 3 ….(2)
Now, put the value of y in equation 1 and solve the equation for x, i.e
x + (x + 3) = 4
x + x + 3 = 4
2x = 4 –3
which gives x = 1/2.

Now, substitute x = 1/2 in any one of the given equation and find the value of y
y = 1/2 + 3
y = 7/2
Answer is : x = 1/2, y = 7/2

## Solving Linear Equation of One Variable - Math Watch Video

Solve for X:
2/3 X + 1 = X/6 x 3

Answer:
In given equation, we find the value of X.

We see that, the denominator of the given equation is 6, so we just multiplied the whole equation by 6.
6 (2/3 X + 1) = 6(X/6 x 3)

Using the distributive law, we have
4X + 6 = 3X

Now taken out the common terms in single side
4X –3X = –6

which gives
X = –6
Answer is : x = –6

## Solving Linear Equation by Substitution Method Algebra Watch Video

Q.
4x + 3y = 1 and x = 1 – y
Solution:
In substitution method, we have a given equation of two variables, x and y.
First you put the value of x in other given equation 4x = 2x + 3y and calculate the value of y.
Steps are:
x = 1 –y
Plug ‘x’ in first equation.
4(1 –y) + 3y = 1
Solve this equation for y
4 –4y + 3y = 1
4 –y = 1
y = 3
Substitute y = 1 in any one of the given equation and find the value of other variable
x = 1 –y
x = 1 –3 = –2
Answer is : x = –2, y = 3

Free Algebra Help Tutorials

## Sunday, 12 February 2012

### FREE MATH EDUCATION ONLINE TUTORIALS: Algebra Math Problems

FREE MATH EDUCATION ONLINE TUTORIALS: Algebra Math Problems: Need some help with a few Algebra Math Problems Help ? Many algebra topics are available here and these are really help you to understand...

## Thursday, 9 February 2012

### Algebra Math Problems

Need some help with a few Algebra Math Problems Help? Many algebra topics are available here and these are really help you to understand the key points on algebra course curriculum.

If this is not what you are looking for, then just fill the form below on the bottom of the section of all the lesson page.

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# Linear programming problem standard form

For developing a general method of solution of a linear programming problem, we used the standard form. The basics of standard form is
1. Non Negativity Constraints i.e. all the constraints are transformed into equations using the addition and substitution of new non negative constraints and change the equation into standard form. These new varaibles are called as slack or surplus variables and are added if <= sign in constraints and subtract if >= in the constraints.

It you need any help in algebra math topics then free math education online tutorials are really help you.

## Friday, 20 January 2012

### free math tutorial help

Welcome! to Free Math Education Online Tutorials, which offers free math tutoring help, math tutorial of good qualifed tutors and team work of high qualified experienced team. If you are interested in improving your math skills of Algebra, Geometry, Trigonometry, Coordinate Geometry etc, then this FREE MATH EDUCATION site is really help you.

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# Basic Integration Formula List of all Functions

In this tutorial, we just find the list of integration formulas and differential coefficients of basic algebraic, trigonometric, exponential, lograthmic and inverse trigonometric functions.

Link: Integration Formulas List

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Free Math Education

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