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# How to Solve Equations

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An equations is a combination of one or more terms separated with equal symbol "=". Terms can be numerical, alphanumerical, expression etc. Different type of equations. 1.) Equations which have solution : How to Solve Equations In these types of equation we can find the value of variable like a, b, c. Examples: a.) 5x + y = 12 , 7x – 2y = 21 b.) 2a – 3b = 6 , 5a + b = 10 After solving these two equation we will get the value of x and y. 2.) Equation without solution: An equation which have no solution. How to Solve Equations Means we can not find the value of variable. 0 = -2, 0 = 12 ,7=8 Examples: a.) 5a + 4 -7a = 6a +7 – 8a – 5 Step:1. 4 + 5a – 7a = 6a – 8a + 7 – 5 Step:2. 4 - 2a = -2a + 2 Step:3. 2a – 2a = 2 – 4 Step: 4. 0 = -2 Example b.) 7x – 6 = 7x + 6. Step:1. 7x – 7x = 6 + 6 Step:2. 0 = 12 etc. For equations with solution,we can solve the equation by the following method. 1) Elimination method 2) Substitution method 3) Graphing method. 4.) Trial and error method.
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Content Preview
How to Solve Equations
An equations is a combination of one or more terms separated with equal symbol "=". Terms can be
numerical, alphanumerical, expression etc.
Different type of equations.
1.) Equations which have solution : How to Solve Equations In these types of equation we can find the value
of variable like a, b, c.
Examples:
a.) 5x + y = 12 , 7x - 2y = 21
b.) 2a - 3b = 6 , 5a + b = 10
After solving these two equation we will get the value of x and y.
2.) Equation without solution: An equation which have no solution. How to Solve Equations Means we can
not find the value of variable.
0 = -2, 0 = 12 ,7=8
Examples: a.) 5a + 4 -7a = 6a +7 - 8a - 5
Step:1. 4 + 5a - 7a = 6a - 8a + 7 - 5
Step:2. 4 - 2a = -2a + 2
Step:3. 2a - 2a = 2 - 4
Step: 4. 0 = -2
Example b.) 7x - 6 = 7x + 6.
Step:1. 7x - 7x = 6 + 6
Step:2. 0 = 12 etc.
For equations with solution,we can solve the equation by the following method.
1) Elimination method

2) Substitution method
3) Graphing method.
4.) Trial and error method.

Rules to Solve Equation
A number which satisfies the given equation is cal ed a solution or root of that .`Satisfying the equation' means
that if the variable (literal) involved in this is replaced by the number, then both sides of that become equal.The
process of finding the particular value of the variable (literal) which makes both sides of the equation equal is
cal ed solving the equation. Below are rules that need to be followed in solving equations.
Rule 1:- If equals are added to equals, the sums are equals. How to Solve Equations In other words, you can
add the same number to both sides of an equation.
Rule 2:- If equals are subtracted from equals, the remainders are equal. In other words, you can subtract the
same number from both sides of an equation.
Rule 3:- The two sides of an equation may be multiplied by same non-zero number For example, if x/5 = 7,
then x/5 x 5 = 7 x 5.
Rule 4:- The two sides of an equation may be divided by same non-zero number
Types of algebra equations
Equation is one of the most important calculations in algebra and the most essential concept of math. It deals
mainly with algebraic expressions. There are different types of equations: radical, parabola, hyperbola, linear,
differential, partial differential and quadratic equations. Learn about al these concepts with our tutor,
understand the depth of the topics and get a hold over the whole concept of equations. Below stated are the
different types of algebra equations frequently asked by How to Solve Equations students and how our tutors
Linear equations:
Linear equation is any equation that when graphed produces a straight line.There are various types of
equations; none except linear equations will produce a straight line when graphed. Get help in solving linear
equations and find easy steps to fol ow.Students can learn about graphing of various equations like the graph
of linear equations also.
Differential equations:
An equation involving one dependent variable and its derivatives with respect to one or more independent
variables is cal ed a Differential Equations. Get help in solving equations, solve equations with easy steps and
be an expert.
Partial differential equations
A partial differential equation is an equation which contains one or more partial derivatives. The order of the
partial differential equation is that of the derivative of highest order in the equations. Connect to a tutor and
work out equations with proper understanding.

Thank You
TutorVista.com

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How to Solve Equations

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