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

Determine the solution to initial value problem, Find the solution to the s...

Find the solution to the subsequent IVP. ty' - 2y = t 5 sin(2t) - t 3 + 4t 4 , y (π) = 3/2 π 4 Solution : First, divide by t to find the differential equation in the accu

Lpp, A paper mill produces two grades of paper viz., X and Y. Because of ra...

A paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y paper i

Show that af+bd+ce=ae+bf+cd= 1/2 , In figure, the incircle of triangle ABC...

In figure, the incircle of triangle ABC touches the sides BC, CA, and AB at D, E, and F respectively. Show that AF+BD+CE=AE+BF+CD= 1/2   (perimeter of triangle ABC), Ans:

Calculus, what is a domain of a function?

what is a domain of a function?

Negative three and positive eight inclusive represent y, The value of y is ...

The value of y is among negative three and positive eight inclusive. Which of the subsequent represents y? This inequality displays a solution set where y is greater than or eq

Standard conventions in game theory, Standard conventions in game theory ...

Standard conventions in game theory Consider the given table: Y   3 -4 X -2 1

Find the generating function, Find the generating function for the number o...

Find the generating function for the number of r-combinations of {3.a, 5.b, 2.c}          Ans:  Terms sequence is given as r-combinations of {3.a, 5.b, 2.c}. This can be writte

Congruences, Suppose m be a positive integer, then the two integer a and b ...

Suppose m be a positive integer, then the two integer a and b called congurent modulo m ' if a - b is divisible by m i.e.  a - b = m where is an positive integer. The congru

Union and intersection - set theory, Union and Intersection - Set theory ...

Union and Intersection - Set theory B ∩ C indicates the intersection of B and C. it is the set having all those elements that belong to both B and C If B = {5, 8, 11, 20, 2

Math.., how many sixs are in 60

how many sixs are in 60

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