Monday, September 4, 2023

Choosing the right method to solve a word problem

 As you have seen, there are many ways to solve this word problem.  Now, some word problem or systems of equations will make it easier to solve a certain way than others.

Examples:

2x+5y = 12

3x-5y = -7

Elimination would be easiest because you can just add the two equations and immediately get rid of the y variable.

Whereas a problem like this:

x=2y-1

2x+7y=9 

Would be best solved by substitution since it is already solved for x.  Now, just put that in the 2nd equation.


This problem 

7x-5y=2

13x-7y=6

would work very well with Cramer's rule.


While this problem:

3.457x-9.28y=23.87

4.672x+12.82345y=-1.0023

I would jump right on one of the websites I mentioned!  I wouldn't waste my time with any of the other methods.  Yes, it is fine to use a calculator or website to solve problems but you shouldn't use them for easier problems.  


A problem like:

x+3y=4

2x-5y=-3

Would be great with gaussian elimination.  


So, knowing many methods will be very helpful to solving problems quickly and accurately.

Remember, if you need help, contact me.  I have VERY affordable rates.




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