Example of linear equations, Mathematics

Assignment Help:

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.


Related Discussions:- Example of linear equations

Fractions, What fraction could you add to 4/7 to get a sum greater than 1

What fraction could you add to 4/7 to get a sum greater than 1

Definition and fact of the shape of a graph, Definition 1.   Given any ...

Definition 1.   Given any x 1  & x 2   from an interval  I with x 1 2  if f ( x 1 ) 2 ) then f ( x ) is increasing on I. 2.   Given any x 1  & x 2  from an interval

Problems involving motion - word problems, Problems Involving Motion - Word...

Problems Involving Motion - Word Problems: How far can a car travelling at a rate of 52 miles per hour travel in 2½ hours? Solution: Using Equation 13: s = vavt

Determine the length of the longer base, The longer base of a trapezoid is ...

The longer base of a trapezoid is 3 times the shorter base. The nonparallel sides are congruent. The nonparallel side is 5 cm more that the shorter base. The perimeter of the trape

Derivative, Uses of derivative in daily life with examples.

Uses of derivative in daily life with examples.

What is the volume of the frustum, If the areas of the circular bases of a ...

If the areas of the circular bases of a frustum of a cone are 4cm 2 and 9cm 2 respectively and the height of the frustum is 12cm. What is the volume of the frustum. (Ans:44cm 2 )

Unitary method, what is history of Unitary method

what is history of Unitary method

Quantitative techniques, mentioning the type of business you could start an...

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

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd