Substitution method for Solving linear Systems The Substitution method for Solving linear Systems is easy to solve the equations. Substitution method can be applied in below steps. Step 1: First select one equation and solve it for one variable either x = or y =. Step 2: Substitute the solution from step 1 into the other equation. […]

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Solving Quadratic Equations     A Quadratic equation is an equation in the form “ax2 + bx + c = 0″, where x is variable, a, b, c, are real numbers, and a ≠ 0. Example- (1) x2 – 4x + 5 = 0                (2) x2  + 3x – 4 = 0       […]

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Linear Equations in two Variables If the equation has more than one variable and the highest power of variable, appearing in the equation is 1, such that variables are not multiplied each other then this type of equation is known as “linear equation in two variable”. Some examples of linear equations in two variables are,       […]

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Solve linear equations in one variable We will learn how to solve linear equations using mathematical operations, like addition, subtraction, multiplication and division.  Here are steps to solve a linear equation in one variable. When variables on both sides of the equations, then following steps are followed for solving the equations. Some examples are given […]

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Simultaneous equations by Elimination Method Steps for solve linear equations with elimination method. Step 1: First we arrange both equations in standard form, placing like variables and constants one above the other. Step 2: Choose a variable (x or y) to eliminate, Multiply both equations by a suitable(non zero) constant to make the coefficients of one […]

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Types of sets In set theory, we will learn Type of sets as Finite and Infinite sets Singleton set Cardinal number of a set Equal and Equivalent sets Empty set Overlapping set Subsets Disjoint set Universal set  1. Finite set: Finite set: In a set number of elements is limited or numbers are counted is called […]

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 Important sets in Mathematics  1.  N = Set of all “Natural” numbers. 2.  W = Set of all “Whole” numbers. 3.  Q = Set of all “Rational” numbers. 4.   Z = Set of all “Integers”. 5.  R = Set of all “Real” numbers. 6.  Z +  = Set of “Positive” Integers. 7. Q + = Set of “Positive Rational” numbers. 8.  R +  = Set of “Real” numbers.

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