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

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

Solve factors for given equations, 1/a+b+x  =1/a+1/b+1/x    a+b ≠ 0 ...

1/a+b+x  =1/a+1/b+1/x    a+b ≠ 0 Ans: 1/a+b+x  =1/a+1/b+1/x => 1/a+b+x -1/x = +1/a +1/b ⇒  x - ( a + b + x )/ x ( a + b + x )   = + a + b/ ab ⇒

NUMERABILITY, AFIGURE THIS OUT(3) (14) (17) (20) (25)= 8 WHAT ARE THE PROC...

AFIGURE THIS OUT(3) (14) (17) (20) (25)= 8 WHAT ARE THE PROCEDURES (-)(+)(x)(div) BETWEEN EACH NUMBER TO COME UP WITH 8 ?sk question #Minimum 100 words accepted#

Find the quotient and remainder, Question: Find the quotient and remain...

Question: Find the quotient and remainder when f(x) = x 5 - x 4 - 4x 3 + 2x + 3 is divided by g(x) = x-2. Make sure the quotient and remainder are clearly identified.

Probability: determine the optimal strategy , On a picnic outing, 2 two-pe...

On a picnic outing, 2 two-person teams are playing hide-and-seek. There are four  hiding locations (A, B, C, and D), and the two members of the hiding team can hide separately in a

Describe a business, a. Write an exponential function that could model the ...

a. Write an exponential function that could model the information in this graph.   b. Describe a business, scientific (not mathematical), or economic situation for what thi

Reduction formulae, Reduction formulae Script for Introduction: ...

Reduction formulae Script for Introduction: First let us know what is meant by reduction formula. In simple words,                 A formula which expressess(or re

F distribution or variance ratio distribution, Frequency Distribution or Va...

Frequency Distribution or Variance Ratio Distribution This was developed by R. A Fisher in 1924 and is normally defined in terms of the ratio of the variances of two usually d

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