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

the area of a triangle is 20 and its base is 16. Find the base of a similar triangle whose area is 45. Given is a regular pentagon. Find the measure of angle LHIK.

1. His favorite current carrot drink contain 40%. but h eneeds add to 80 quarts wife brought his perfect drink mix.

Water in a canal 30 dm wide and 12 dm deep is flowing with a velocity of 10 km/h. How much area will it irrigate in 30 minutes if 8 cm of standing water is required for irrigation?


factorize the following algebraic expressions

how to do mathematical proofs

how to break fractions

You are painting the surface of a silo that has a diameter of 16 ft and height of 50 ft. What is the net surface area to be painted? Consider the top of the silo is  1/2 a sphere

E1) Do you agree that multiplication and division should be learnt intermeshed with each other, or not? Give reasons for your answer.  E2) How would you explain to children wh