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

Percents, If 2/3 of a number is 24 then 1/4 of a number is...

If 2/3 of a number is 24 then 1/4 of a number is...

Sketch the parametric curve for parametric equations, Sketch (draw) the par...

Sketch (draw) the parametric curve for the subsequent set of parametric equations. x = t 2 + t y = 2t -1 Solution At this point our simply option for sketching a par

Two circles c(o, Two circles C(O, r) and C 1 (O 1 , r 1 ) touch each other ...

Two circles C(O, r) and C 1 (O 1 , r 1 ) touch each other at P, externally or internally.  Construction: join OP and O 1 P . Proof : we know that if two circles touch each

Rolles therom, f(x)=sin x+cos x in the interval {0,90}

f(x)=sin x+cos x in the interval {0,90}

Inverse tangent, Inverse Tangent : Following is the definition of the inve...

Inverse Tangent : Following is the definition of the inverse tangent.  y = tan -1 x     ⇔ tan y = x                     for            -∏/2 ≤ y ≤ ?/2 Again, we have a limi

Find ways in which prizes are distributed between student, Find out the num...

Find out the number of ways in which 5 prizes can be distributed among 5 students such that  (a)   Each student may get a prize. (b)  There is no restriction to the number o

Ways for 30 identical balls can be distributed among 4 boys, In how many w...

In how many ways 30 identical balls can be DISTRIBUTED among 4 boys?? Ans) Let they get a,b,c,d respectively. You requireto find the non negative integral results of a+b+c+d=3

3/8:5/9, how do I change this ratio to a fraction

how do I change this ratio to a fraction

Stratified sampling, Stratified sampling In stratified sampling case t...

Stratified sampling In stratified sampling case the population is divided into groups in such a way that units in each group are as same as possible in a process called strati

Statistics, marks frequency 0-9 8 10-19 10 20-29 ...

marks frequency 0-9 8 10-19 10 20-29 14 30-39 28 40-49 46 50-59 25 60-69 17 70-79 9 80-89 2 90-99 1 (

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