Solving a system of 2 equations addition-subtraction method, Mathematics

Assignment Help:

Solving a System of 2 Equations Using the Addition/Subtraction Method

To solve a system of linear equations using the addition/subtraction method, both equations should first be written in the form Ax + By = C.

Let's take a look at the system of equations below:

   x + 2y = 3

15x - 2y = 29

As shown below, adding the equations together eliminates one of the variables. In this case, it's the y-variable that is eliminated..

Now we're left with 16x = 32. Solving for x, we get x = 2.

Substitute 2 for the x-variable in either of the original equations and solve for y. (We'll use the equation x + 2y = 3 because it looks simpler.)

x + 2y = 3
2+2y = 3
2y = 1
Y = 1/2
So we claim that the solution to the system is (2, 1/2) Now check this answer in both of the original equations:

Therefore, the solution to the system is (2, 1/2)


Related Discussions:- Solving a system of 2 equations addition-subtraction method

Sequencing model, theory about solving sequencing problem using graphical m...

theory about solving sequencing problem using graphical method

Limitation of operation research, i need ten points about limitation of ope...

i need ten points about limitation of operation research

Objective functions, For schedule consistency, you decide to require each o...

For schedule consistency, you decide to require each officer to report for their eight-hour shift at 12 AM, 4 AM, 8 AM, 12 PM, 4 PM, or 8 PM. As the Director of Public Safety, you

Integers, What are some equations for 36?

What are some equations for 36?

Cartesian product of sets, The Cartesian product (also called as the cross ...

The Cartesian product (also called as the cross product) of two sets A and B, shown by AΧB (in the similar order) is the set of all ordered pairs (x, y) such that x€A and y€B. What

Example of set representation, Can anybody suggest me any example of Set Re...

Can anybody suggest me any example of Set Representation?

What was the us''s policy towards latin america, What was the US's policy t...

What was the US's policy towards Latin America during the 20th century? What were the motives behind this policy? Give one example of the US executing this policy?

Learn, how to find basic intrest problems

how to find basic intrest problems

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