Example of linear equations, Mathematics

Example of Linear Equations:

Solve the equation 2x + 9 = 3(x + 4).

Solution:

Step 1. Using Axiom 2, subtract 3x and 9 from both sides of the equation.

2x + 9 = 3(x + 4)

2x + 9 - 3x - 9 = 3x + 12 - 3x - 9

-x = 3

Step 2. Using Axiom 4, divide both sides of the equation by -1.

-x/-1 = =3/-1

x = -3

Step 3. Check the root.

2(-3) + 9 = -6 + 9 = 3

3[(-3) + 4] = 3(1) = 3

The root checks.

These similar steps can be used to solve equations which involve various unknowns.  The result is an expression for one of the unknowns in terms of the other unknowns.   This is particularly significant in solving practical problems.  Frequent the known relationship between various physical quantities  must  be  rearranged  in  sequence  to  solve  for  the  unknown  quantity.   The steps are performed so in which the unknown quantity is isolated on the left-hand side of the equation.

Posted Date: 2/9/2013 2:33:00 AM | Location : United States







Related Discussions:- Example of linear equations, Assignment Help, Ask Question on Example of linear equations, Get Answer, Expert's Help, Example of linear equations Discussions

Write discussion on Example of linear equations
Your posts are moderated
Related Questions
Can you explain that it is true that a line that slopes downward from left to right has a positive slope?

to plot (5,-4), start at (0,0) and move 5 units left and 4 units down

problem faced by students

Prove that, the complement of each element in a Boolean algebra B is unique.     Ans:  Proof: Let I and 0 are the unit and zero elements of B correspondingly. Suppose b and c b

why cant we find the value of 1 upon zero

In Daniel's fifth grade class, 37.5% of the 24 students walk to school. One third of the walkers got a ride to school presently from their parents. How many walkers got a ride to s

You''ve decided you want a plant for your room. At the gardening store, there are 444 different kinds of plants (tulip, fern, cactus, and ficus) and 444 different kinds of pots to

Give the example of Exponents? When a number is multiplied several times, it is easier to write it as an exponent. For example, four multiplied to itself three times, is writte

Martha has $20 to spend and would like to buy as several calculators as possible along with the money. The calculators that she needs to buy are $4.50 each. How much money will she