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

Estimate the position of an object at any time, The position of an object a...

The position of an object at any time t (in hours) is specified by, s (t ) = 2t 3 - 21t 2 + 60t -10 Find out when the object is moving to the right and whiles the object

Calculate plurality voting and borda count, Consider the following set of p...

Consider the following set of preference lists:                                                      Number of Voters (7)                 Rank            1          1

Construct the adjacency matrix and the adjacency lists, Question: Constrcut...

Question: Constrcut the adjacency matrix and the adjacency lists for the graph G below, where the weights associated with edges represent distances between nodes. If no edge is pre

Relative measures of dispersion, Relative measures of dispersion Defi...

Relative measures of dispersion Definition of Relative measures of dispersion: A relative measure of dispersion is a statistical value that may be utilized to compare va

Differential Equation, #i hve two qestion on Differential Equation i need s...

#i hve two qestion on Differential Equation i need solve it..

Class limits and class boundries, Class limits These are numerical va...

Class limits These are numerical values, which limits uq extended of a given class that is all the observations in a provided class are expected to fall in the interval which

Long distance calls cost x cent how much 5-minute call cost, A long distanc...

A long distance calls costs x cents for the first minute and y cents for every additional minute. How much would a 5-minute call cost? The cost of the call is x cents plus y ti

Determine differential equation from direction field, Thus, just why do we ...

Thus, just why do we care regarding direction fields? Two nice pieces of information are there which can be readily determined from the direction field for a differential equation.

Describe the system with 3 variables, Describe the System with 3 Variables ...

Describe the System with 3 Variables ? This is an example of solving a system of equations using the substitution method. Warning: You will not understand this example if you

Class 10, The value of K for (k+1)x^2-2(k-1)x+1 = 0 has real and equal root...

The value of K for (k+1)x^2-2(k-1)x+1 = 0 has real and equal roots.

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