loan

subject: Symbolic Method For Solving A Linear Equation [print this page]

Linear equation is one of the topic used in algebra. Linear equation is used to find the unknown variable in the equation. We will solve the liner equation using inverse arithmetic operations so that we will get a value for unknown variable. This concept of solving linear equation is used in real life applications.

In arithmetic, the concept of straight line systems is the foundation and the key aspect of straight line geometry, a subject which is used in most parts of modern arithmetic. Computational methods for finding the alternatives are a significant aspect of statistical straight line geometry, and play a popular part in technological innovation, technology, chemical make up, information technology, and business economics. A program of non-linear equations can often be estimated by a straight line program (see linearization), a helpful technique when making a statistical design or pc simulator of a relatively complicated program.

Very often, the coefficients of the equations are real or complicated figures and the alternatives are explored in the same set of figures, but the concept and the methods apply for coefficients and alternatives in any field. For alternatives in the key sector like the band of the integers, or in other algebraic components, other concepts have been developed. See, for example, integer straight line development for integer alternatives, Grbner foundation for polynomial coefficients and unknowns, or also unique geometry for straight line geometry in a more unique framework.

Linear equation is a form of linear expression and also contains one equality sign. In linear equation, both sides are equal.

Solving a linear equation can be done by three ways:

They are Graphical method, Symbolic method and numerical method.

Here we see about solving a linear equation symbolic method.

Solving Linear Equation Problems Using Symbolic Method:

Problem 1:

Solve the linear equation using symbolic method. X + 15 = 30

Solution:

The given equation is x + 15 = 30

Solving for x,

Subtract 15 from each side.

X + 15 15 = 30 15

X = 15.

The solution is 15.

Problem 2:

Solve the linear equation using symbolic method. 2m = 6

Solution:

The given equation is 2m = 6

Solving for m,

Divide by 2 each side.

'(2m)/2' = '6/2'

m = 3.

The solution is 3.

Check this an example of an algebraic expression awesome i recently used to see.

Problem 3:

Solve the linear equation using symbolic method. b2 - 1 = 15

Solution:

The given equation is b2 - 1 = 15

Solving for b,

Add 1 to each side.

b2 1 + 1 = 15 + 1

b2 = 16.

Take square root on both sides.

b = 4

The solution is 4.

Solving Linear Equation Word Problem Using Symbolic Method:

Problem 4:

Dicks age is 9. Sum of his age and his fathers age is 42. Frame the linear equation and solve for fathers age using symbolic method.

Solution:

Let fathers age be x.

Dicks age = 9

Sum of his age and his fathers age is 42.

Frame a linear equation from the statement.

9 + x = 42

Solving for x,

Subtract 9 from each side.

X + 9 9 = 42 9

X = 33.

The fathers age is 33.

Problem 5:

Solve the linear equation using symbolic method. 3x + 1 = 2x + 5

Solution:

The given equation is 3x + 1 = 2x + 5

Solving for x,

Subtract 2x from each side.

3x 2x + 1 = 2x 2x + 5

X + 1 = 5

Subtract 1 from each side.

X + 1 1 = 5 1

X = 4.

The solution is 4.

by: mathqa

welcome to loan (http://www.yloan.com/)