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

Ask an Expert

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

Write your message here..

Related Questions

..percentage, how to express 15/4 into percentage how to express 15/4 into percentage

Simpson rule - approximating definite integrals, Simpson's Rule - Approxima... Simpson's Rule - Approximating Definite Integrals This is the last method we're going to take a look at and in this case we will once again divide up the interval [a, b] int

Indices, 4n to the power 3/2 = 8 to the power minus 1/3. find the value of ... 4n to the power 3/2 = 8 to the power minus 1/3. find the value of n.

Assisnment, How a student of mathematics of b.sc can make an assignment on... How a student of mathematics of b.sc can make an assignment on topic of asymptotes?

Estimate the slope of a line?, Estimate the Slope of a Line? The slope o... Estimate the Slope of a Line? The slope of a line is a measure of how steep it is. It is defined as y 2 - y 1 /x 2 -x 1 Where (x 1 , y 1 ) and (x 2 , y 2 ) are any two p

Number theory, formula for non negative solutions integral formula for non negative solutions integral

Trignometry, how can i easily solve the trignometry question? how can i easily solve the trignometry question?

Prove that if x is a real number then [2x] = [x] + [x + ½ ], Prove that if... Prove that if x is a real number then [2x] = [x] + [x + ½ ] Ans: Let us consider x be any real number. It comprises two parts: integer and fraction. With no loss of

Find the third vertex of equilateral triangle, If two vertices of an equila... If two vertices of an equilateral triangle are (0, 0) and (3, 0), find the third vertex. [Ans: 3/2 , 3/√ 3/2  or 3/2, -3√ 3/2] Ans:    OA = OB = AB OA 2 = OB 2 = AB 2

Iceviga, Jess had a book with 100 pages to read she only read 10 how many p... Jess had a book with 100 pages to read she only read 10 how many pages does she have to read?