Wk7 discussion 2 - Assignment Example

Graph is a mode of interpreting the data or the information in terms of visual model. This provides evaluation of the data occurrence in the form of visual display and sometimes by plotting (x,y) coordinate plane. Graphs find vast application in numerous field of studies, for instance Architecture or Engineering, economics and market research.However, graphs have certain limitations. They can only be implied perfectly when the intersection is at the integers rather than at decimal or fractions.

Therefore, precision can alter and vary. Also, graphing is a useful technique when used parallel to other techniques; however the elimination and substitution provide exact solutions provided there are no arithmetic errors. Graphs can have many solutions if the system is non-linear and linear but consistent and dependent. On the other hand Substitution and elimination provide precise results while equating themElimination is apt when the coefficient for one of the variables is (-1) to the coefficient of same variable of the other equation, following example illustrates,(i) 5x+y=10(ii) -5x+y=8Adding (i) & (ii) them will give 2y= 18 and y =9To solve for ‘x’ put 9 in (i)5x+9=105x= 10-9, 5x=1x=1/5Solution ( 1/5, 9)Substitution is effective, when one of the variables is already solved or given or perhaps easy to solve in a given equation.

For instance(i) x= 2y+5(ii) 5x+4y=15Putting the value of ‘x’ in the (ii)5(2y+5) + 4y =1510y+25+4y=1514y=40 ; y=40/14 ; y= 20/7Now, equating for “x” x= 2(20/7) +5x= 40/7 +5x= 40+35/7 (taking L.C.M)x=75/7Solution (75/7, 20/7)ReferencesJust answer on the internet, Just Answer Company, 20 April. 2005 http://www.justanswer.com/math/3eqyg-sometimes-obvious-method-efficient.htmlChristian Hollendonner. Ehow company, 9th june. 2011 http://www.ehow.com/info_8567608_under-conditions-would-use-graphing.html