what is algebraic method?

Question

please show me some example of it.thank you

Answer 1

Example:

If a + b = c
then b = c - a and a = c - b

What's it good for? It makes you think logically. This will come in handy throughout your life.

Answer 2

I'm curious what the context of the problem is. Algebraic method describes manipulating symbols, usually in the context of variables and solving. Most people think of algebra as using letters to represent numbers and the rules that go with that change.

Typically this phrase "algebraic method" is a type of direction that might be in reference to solving systems. For an Algebra I type of example: A system of linear equations that have a solution will intersect if you graphed them. You can solve a system in several ways: Guess & check, Graphically, Algebraically, and using something called Matrices.

Algebraically, you can solve for this intersection using a substitution method or a linear combinations method (sometimes called the elimination method).

If the problem asked me to solve the following system using any algebraic method, I might have something like...

3x - 2y = 12
2x + 6y = 8

I am choosing the elimination method to cancel out the y's (they are opposite signs and I can easily turn a -2y into a -6y by multiplying the top equation by 3)...

(3x - 2y = 12)3
2x + 6y = 8

Distribute the 3 across to each term in the equation...
9x - 6y = 36
2x + 6y = 8

Combine the equations by adding the like terms together...
11x + 0y = 44

Solve for the remaining variable...
11x = 44
x = 4

Use this in one of the original equations to solve for the other variable...
3x - 2y = 12
3(4) - 2y = 12
12 - 2y = 12
-2y = 0
y = 0

The solution of this system is (4, 0).

Check that this solution works in both equations.

3x - 2y = 12
3(4) - 2(0) = 12
12 - 0 = 12
12 = 12
true

2x + 6y = 8
2(4) + 6(0) = 8
8 + 0 = 8
8 = 8
true

I hope this helps!

Answer 3

It is the rearranging of terms in an equation. Algebraic methods can be applied to equations of knowns as in numerical and chemical equations, equations of only unknowns, or equations containing both.


1 + 2 = 3

1 + 2 - 2 = 3 -2

1 = 1



2 /6 = 3

6(2/6) = (6)3

2 = 2

Answer 4

The above is arithmetic, not algebra. Algebra is the use of symbols in place of numbers to represent quantities. The symbols are manipulated by the rules of algebra to obtain general relationships not tied to specific values. For example:

The area of a rectangle is its height times width. If I ask for the area of a 3" x 5" rectangle, you can provide the answer 15sq in for that case. But if you let the width be represented by the symbol w, and the height represented by the symbol h, you can write the general expression

A = h x w.

In algebra, the times sign is often omitted, and the fomula written A= hw.

The rules of algebra can be used with that formula to find the value of h if A and w are given,

Answer 5

it is method of solving the problems using BODMAS