Question

explian substituion method of linear equation on two variables for class 10. explain with an example.​

Answer 1

Step-by-step explanation:

Let us assume the system of linear equations

2x+3y = 13 and x-2y = -4

Given:

2x+3y = 13  …  (1)

x-2y = -4 …(2)

The equation (2) can be written as

x = 2y-4 … (3)

Now, in equation (1) eliminate the variable x by substituting the equation (3).

Hence, equation (1) becomes

2(2y-4) +3y = 13

Now, apply the distributive property for the above equation,

4y-8+3y = 13

Now, solve the above equation for the variable y

7y – 8 = 13

7y = 13+8

7y = 21

y= 21/7

y= 3

Hence, the value of y is 3.

Now, substituting y=3 in the equation (2), we get

x- 2(3) = -4

x – 6=-4

x = -4+6

x = 2

Therefore, the value of x is 2.

Hence, the solution for the system of linear equations is:

x = 2 and y=3

Answer 2

Answer:

The solution of the simultaneous linear equations can be divided into two broad categories, Graphical Method, and Algebraic method. The substitution method is one of the categories of the algebraic method. In this article, you will learn what the substitution method is and how to solve the linear equation using the substitution method with examples.

Step-by-step explanation:

x+y=2......(1)

x-y=4.......(2)

from eq (1)

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

putting the value of x in eq (2)

x-y=4

2-y-y=4

2-2y=4

2(1-y=2)

y=-1

putting the value of y in eq (3)

x=2-(-1)

x=3

y=-1,x=3