Simultaneous equations by substitution, Mathematics

Assignment Help:

Simultaneous equations by substitution:

Solve the subsequent simultaneous equations by substitution.

3x + 4y = 6      5x + 3y = -1

Solution:

Solve for x:

3x = 6 - 4y

x = 2- 4y /3

Substitute the value for x within the other equation:

5(2- 4y/3) + 3y = -1

10 - 20y/3 +3y = -1

 10- 20y/3 +9y/3 = -1

10-11y/3 = -1

-11y/3 = -11

y = 3

Substitute y = 3 into the first equation:

3x + 4(3) = 6

3x = -6

x = -2

Check the solution through substituting x = -2 and y = 3 into the original equations.

3x +4y = 6                   5x + 3y = -1

3(-2) +4(3) = 6            5(-2) + 3(3) = -1

-6 +12 = 6                   -10 + 9 = -1

6= 6                             -1 = -1

Therefore, the solution checks.


Related Discussions:- Simultaneous equations by substitution

Fact - undetermined coefficients, Here, let's take a look at sums of the fu...

Here, let's take a look at sums of the fundamental components and/or products of the fundamental components. To do this we'll require the following fact. Fact- Undetermined Co

Calculate the width of the river, A surveyor is hired to calculate the widt...

A surveyor is hired to calculate the width of a river. Using the example provided, Calculate the width of the river. a. 48 ft b. 8 ft c. 35 ft d. 75 ft

Simplex table, maximize Z=2x+5y+7z, subject to constraints : 3x+2y+4z =0

maximize Z=2x+5y+7z, subject to constraints : 3x+2y+4z =0

Green function, greens function for x''''=0, x(1)=0, x''(0)+x''(1)=0 is G(t...

greens function for x''''=0, x(1)=0, x''(0)+x''(1)=0 is G(t,s)= {1-s for t or equal to s

Lengrange''s mean value theorem, real life applications of lengrange''s mea...

real life applications of lengrange''s mean value theorem

.fractions, what is the difference between North America''s part of the tot...

what is the difference between North America''s part of the total population and Africa''s part

Rate of change interpretation of derivative, Rate of Change : The first in...

Rate of Change : The first interpretation of derivative is rate of change.  It was not the primary problem which we looked at in the limit chapter, however it is the most signific

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