Substitution technique of linear equations - linear algebra, Mathematics

What is Substitution Technique of Linear Equations?

Posted Date: 2/12/2013 3:07:26 AM | Location : United States





To demonstrate Substitution technique, consider the system of two equations (i). and (ii) reproduced underneath as:

            2x - 3y = 8 ........          (i).

            3x + 4y = -5 ......           (ii).

The solution of such system can be acquired by

1) Solving one of the equations for one variable in terms of other variable;

2) Substituting this value into the another equation(s) thereby getting an equation along with one unknown only

3) at last Solving this equation for its single variable

4) Substituting this value into any one of the two original equations as like to receive the value of the second variable

Step 1

Solve equation (i) for variable x in terms of y

2x - 3y = 8

x= 4 + (3/2) y   (iii)

Step 2

Substitute this value of x into equation (ii). And get an equation in y only

3x + 4y = -5

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

8 ½ y = - 17 .......          (iv)

Step 3

Solve the equation (iv). For y

8½y = -17

y = -2

Step 4

Substitute this value of y into equation (i) or (iii) and get the value of x

2x - 3y = 8

2x - 3(-2) = 8

x = 1

Posted by james | Posted Date: 2/12/2013 3:09:01 AM


Related Discussions:- Substitution technique of linear equations - linear algebra, Assignment Help, Ask Question on Substitution technique of linear equations - linear algebra, Get Answer, Expert's Help, Substitution technique of linear equations - linear algebra Discussions

Write discussion on Substitution technique of linear equations - linear algebra
Your posts are moderated
Related Questions
Melisa and Jennifer threw a fiftieth birthday party for their father at a local restaurant. While the bill came, Melisa added a 15% tip of $42. Jennifer said in which the service w

1. Consider the following context free grammar G with start symbol S (we write E for the empty string, epsilon): S ---> bB | aSS A ---> aB | bAA B ---> E | bA | aS a. D


what are core concepts of marketing?

Mount Everest is 29,028 ft high. Mount Kilimanjaro is 19,340 ft high. How much taller is Mount Everest? Subtract Mt. Kilimanjaro's height from Mt. Everest's height; 29,028 - 19

Dividing Whole Numbers: Example: Divide 347 by 5. Solution:                      Beginning from the left of the dividend, the divisor is divided into the

Solve the subsequent IVP and find the interval of validity for the solution. y' + (4/x) y = x 3 y 2 ,       y(2) = - 1,  x > 0 Solution Thus, the first thing that we re

The probability that a leap year will have 53 sunday is ? and how please explain it ? (a)1/7    (b) 2/7    (c) 5/7    (d)6/7 Sol) A leap year has 366 days, therefore 52 weeks i.e

You know that it's all the time a little scary while we devote an entire section just to the definition of something. Laplace transforms or just transforms can appear scary while w

how do you write this polynomial in standerd form 5x3 + x5 - 8 + 4x ?