Algebra

Systems of Linear Equations

In this tutorial, we will learn how to solve systems of linear equations. A system of linear equations means two or more unknowns need to be calculated from two or more linear equations. The number of equations needed is equal to the number of unknowns. Consider the following equation: Here we have one unknown (x), …

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Algebra

Absolute Value Equation

Absolute value means magnitude of a variable without the sign of it. Suppose you walk in the positive x-axis 3 units starting from 0, then x = 3. Now if you walk in the negative x-axis 3 units, mathematically x = -3 but the distance that you travelled in either direction is the same and …

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Geometry

Straight Line Equation

A straight line can be considered as a line passing through at least two points and remains straight all the time. In xy plane a straight line equation contains variables x and y and a constant [under certain conditions only one variable may exist]. Equation from x-axis and y-axis intercept: x-axis intercepting point (a, 0) …

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Geometry

Pythagorean Theorem

Pythagorean theorem states that for a right triangle, the square of its hypotenuse is equal to the sum of squares of its adjacent arms. Mathematically it can be expressed from the following figure as Proof: From the trigonometry we know, or, or, or, and So, [since A + B = 90] Example: Suppose that you …

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Geometry

Coordinate Geometry

This article describes how to plot points in a two dimensional plane and measure Euclidean distance between two points. The plane that we write in a paper or draw something is a two dimensional plane because it has length and width. On the other hand, the plane that we live in a house is a …

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Algebra

Single Variable Linear Equation

Algebraic equation is a representation of descriptive objective involving some numeric values with symbols. Equation contains two sides with an equality operator “=” such that the contents in the left side of the operator equals the contents in the right side of the operator. The descriptive objective is denoted with some constants,  variables and mathematical …

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