# Math

1. Explain the advantages and disadvantages of both the substitution method and the elimination method for solving a system.

Help please. The only reasons I can think of is because in substitution it might be more difficult cause there's a possibility of working with fractions.

1. 👍 0
2. 👎 0
3. 👁 1,097
1. Actually, that is the best reason.

I use the following criterium.

If I see one of the variables having a coefficient of 1 OR -1, I solve for that variable and use substitution, resulting in no fractions, unless the equation contains fractions to begin with.

As a matter of fact if I see fractions in either one of my equations, I usually multiply each term by the LCD of the fractions, thereby eliminating the fractions.

g. 4x+5y = 12
3x-y = 9
I would solve for y in the second, then sub that into the first.
Of course if the answer itself is a fraction you would be stuck with thAT.

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Algebra 1

Which method would be the simplest way to solve the system? 7x +5y = 19 -7x-2y = -16 graphing substitution elimination or distributive

asked by Steve on December 18, 2014

What advantages does the method of substitution have over graphing for solving systems of equations? Choose the correct answer below. A. Graphing cannot be used to solve dependent or inconsistent systems due to the nature of the

asked by zwgz123 on December 15, 2017
3. ### Biostatistic

An enzymatic method for determining alcohol in wine is evaluated by comparison with a gas-chromatography (GC) method. the same sample is analyzed several times by both methods with the following results (% ethanol). Enzymatic

asked by Jam on December 20, 2012
4. ### Math: Algebra

1. Which method would be the simplest way to solve the system? 7x + 5y = 19 –7x – 2y = –16 A.) graphing B.) substitution C.) elimination D.) distributive I think it is C.

asked by Timothy on November 27, 2012
5. ### Algebra

Cindy is selling tickets. The first day she sold 8 adult tickets and 5 child tickets for a total for \$180.50 in sales. The second day she received \$261 for 12 adult tickets and 5 child tickets. What is the price of an adult

asked by Fay on July 21, 2019
1. ### Algebra

When is the substitution method a better method than graphing for solving a system of linear equations?

asked by Cassidy on January 28, 2013
2. ### Pre-Calc

Solve the system of equations using either the substitution method or the multiplication/addition method answer: 3x+2y=14 2x-4y=4

asked by Anonymous on September 27, 2014
3. ### Mathematics

True / False: The Plurality-with-Elimination Method sometimes violates (i.e. does not always satisfy) the majority criterion. 1. False because the plurality-with-elimination method always requires the winner to have the majority

asked by Gaby on March 29, 2017
4. ### Financial Management

The finance department of a large corporation has evaluated a possible capital project using the NPV method, the Payback Method, and the IRR method. The analysts are puzzled, since the NPV indicated rejection, but the IRR and

asked by Anonymous on November 12, 2012
5. ### History

Advantages and disadvantages that ethnic neighborhoods offered to their residents? I previously did an essay of advantages and disadvantages of immigration to the U.S. and when I search online I am getting the same answers. So I

asked by Jenny on August 7, 2014