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
mentioning the type of business you could start and the location of your business, use the steps of quantitative methods for decision making narrating them one by one in the applic

Evaluate the subsequent inverse trigonometric functions: Evaluate the subsequent inverse trigonometric functions. arcsin   0.3746 22° arccos  0.3746 69° arctan  0.383

Question 1: (a) Show that, for all sets A, B and C, (i) (A ∩ B) c = A c ∩B c . (ii) A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C). (iii) A - (B ∪ C) = (A - B) ∩ (A - C).

Compute the dot product for each of the subsequent equation  (a) v → = 5i → - 8j → , w → = i → + 2j →  (b) a → = (0, 3, -7) , b → = (2, 3,1) Solution (a) v →


elliptical path of celestial bodies

Solution of Linear Equation How to solve a linear equation? Please assist me.


i have a question about discret math

In addition and subtraction we have discussed 1) Some ways of conveying the meaning of the operations of addition and subtraction to children. 2) The different models o