Adding And Subtracting Linear Expressions Math Drills latest 2023

You are searching about Adding And Subtracting Linear Expressions Math Drills, today we will share with you article about Adding And Subtracting Linear Expressions Math Drills was compiled and edited by our team from many sources on the internet. Hope this article on the topic Adding And Subtracting Linear Expressions Math Drills is useful to you.

Elimination Method To Solve System Of Linear Equations

The method of elimination is most often used by students to solve a system of linear equations. Moreover, this method is easy to understand and involves the addition and subtraction of polynomials. Students should be able to add and subtract polynomials involving two or three variables.

In the method of elimination, the coefficients of the same variable are identical, then the two equations are subtracted to eliminate this variable. The resulting equation involves only one variable and can be easily simplified. For instance; Consider that there are two equations in the system of linear equations with variables “x” and “y” as shown below:

2x – 5a = 11

3x + 2a = 7

To solve the above equation by the method of elimination, we need to make the coefficients of one of the variables (either “x” or “y”) the same by multiplying the equation with some numbers, and these numbers can be obtained by finding the least common multiple of the coefficients. Consider that we want the coefficients of “x” to be the same in both equations. For this we need to find the least common multiple of “2” and “3” which is “6”.

To get “6” as the coefficient of the “x” variable in the equations, we need to multiply the first equation by “3” and the second equation by “2”, as shown below:

(2x – 5a = 11) * 3

(3x + 2y = 7) * 2

The new set of equations after multiplication is obtained as shown below:

6x – 15y = 33

6x + 4a = 14

Now we have the same coefficient of variable “x” in both equations. Once a variable has obtained the same coefficient, subtract one equation from the other. We will subtract the second equation from the first as shown below:

(6x – 15y = 33) – (6x + 4y = 14)

In the next step, combine similar terms:

6x – 6x – 15y – 4y = 33 – 14

– 19a = 19

y = – 1

So far we have solved the equations for one variable. To find the value of the other variable “x”, we will substitute the value of “y” into one of the equations given in the question.

Substitute the value of “y = – 1” in the equation 2x – 5y = 11 to find the value of “x” as shown in the next step:

2x – 5 (- 1) = 11

2x + 5 = 11

2x = 11 – 5

2x = 6

x = 3

Therefore, we have solved the two equations to find the value of the variables and our solution is x = 3 and y = – 1. You can take the same approach to solve the system of linear equations by eliminating one of the variables.

Video about Adding And Subtracting Linear Expressions Math Drills

You can see more content about Adding And Subtracting Linear Expressions Math Drills on our youtube channel: Click Here

Question about Adding And Subtracting Linear Expressions Math Drills

If you have any questions about Adding And Subtracting Linear Expressions Math Drills, please let us know, all your questions or suggestions will help us improve in the following articles!

The article Adding And Subtracting Linear Expressions Math Drills was compiled by me and my team from many sources. If you find the article Adding And Subtracting Linear Expressions Math Drills helpful to you, please support the team Like or Share!

Rate Articles Adding And Subtracting Linear Expressions Math Drills

Rate: 4-5 stars
Ratings: 1005
Views: 24527703

Search keywords Adding And Subtracting Linear Expressions Math Drills

Adding And Subtracting Linear Expressions Math Drills
way Adding And Subtracting Linear Expressions Math Drills
tutorial Adding And Subtracting Linear Expressions Math Drills
Adding And Subtracting Linear Expressions Math Drills free
#Elimination #Method #Solve #System #Linear #Equations

Source: https://ezinearticles.com/?Elimination-Method-To-Solve-System-Of-Linear-Equations&id=5497284

Related Posts

default-image-feature

All Units Of Measurement In Maths Pdf latest 2023

You are searching about All Units Of Measurement In Maths Pdf, today we will share with you article about All Units Of Measurement In Maths Pdf was…

default-image-feature

All Types Of Transformations In Math latest 2023

You are searching about All Types Of Transformations In Math, today we will share with you article about All Types Of Transformations In Math was compiled and…

default-image-feature

All Types Of Shapes In Maths latest 2023

You are searching about All Types Of Shapes In Maths, today we will share with you article about All Types Of Shapes In Maths was compiled and…

default-image-feature

All Types Of Sequences In Math latest 2023

You are searching about All Types Of Sequences In Math, today we will share with you article about All Types Of Sequences In Math was compiled and…

default-image-feature

All Types Of Sat Math Questions latest 2023

You are searching about All Types Of Sat Math Questions, today we will share with you article about All Types Of Sat Math Questions was compiled and…

default-image-feature

All Types Of Properties In Math latest 2023

You are searching about All Types Of Properties In Math, today we will share with you article about All Types Of Properties In Math was compiled and…