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

#title.heat loss in a cylindrical pipe., briefly explain how the famous equ...

briefly explain how the famous equation for the loss of heat in a cylindrical pipe is derived

Rolle''s theorem, The curve (y+1) 2 =x 2 passes by the points (1, 0) and ...

The curve (y+1) 2 =x 2 passes by the points (1, 0) and (- 1, 0). Does Rolle's Theorem clarify the conclusion that  dy dx  vanishes for some value of x in the interval -1≤x≤1?

The coordinate axes, Trace the curve y 2 = (x + 2) 2 (x - 6). Clearly sta...

Trace the curve y 2 = (x + 2) 2 (x - 6). Clearly state all the properties you have used for tracing it(e.g., symmetry about the axes, symmetry about the origin, points of interse

Solve 2 ln (x) - ln (1 - x ) = 2 single logarithm, Solve 2 ln (√x) - ln (1 ...

Solve 2 ln (√x) - ln (1 - x ) = 2 . Solution: Firstly get the two logarithms combined in a single logarithm. 2 ln (√x) - ln (x  - l) = 2 ln ((√x) 2 ) ln (1 - x ) = 2

Find how much women prefer a job outside of the home, According to a Gallup...

According to a Gallup poll 51% of US women prefer to have a job outside of the home. What is the chance that a survey of 200 women would find that 45% or less of the respondants

Area related to circles, railway tunnel of radius 3.5 m and angle aob =90 f...

railway tunnel of radius 3.5 m and angle aob =90 find height of the tunnel

What is pythagorean triples, What is Pythagorean Triples? A set of thre...

What is Pythagorean Triples? A set of three numbers a, b, and c that can satisfy the equation A 2 +b 2 = c 2 , is called a Pythagorean triple. The following is a list of

Math, how to compare fractions

how to compare fractions

Determine the distance, Two planes leave the airport at the similar time. M...

Two planes leave the airport at the similar time. Minutes later, plane A is 70 miles due north of the airport and plane B is 168 miles due east of the airport. Determine the distan

Continuity, Continuity : In the last few sections we've been using the te...

Continuity : In the last few sections we've been using the term "nice enough" to describe those functions which we could evaluate limits by just evaluating the function at the po

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