Question

Give example of substitution method????

Answer 1

7x-15y=2

x+2y=3

write one in the terms of the other

x+2y=3
x=3-2y

substitute the value of x in EQ.1
7(3-2y)-15y=2
21-14y-15y=2
-29y= - 19
y=19/29

substitute the value of y in EQ.2
x=3-2(19/29)=49/29

x=49/29

y=19/29

Answer 2

Hi friend,

Substitution:-

In Algebra "Substitution" means putting numbers where the letters are represented in the form of numbers by giving them some values.


Ex:-

3x+y=95. x+4y=22
3x+y=95. x+4y=22

Begin by multiplying the first equation by -4 so that the coefficients of y are opposite

5x+4y=22
5x+4y=22

−12x−4y=−36
−12x−4y=−36

+5x+4y=22
+5x+4y=22

=−7x=−14
=−7x=−14

x=2
x=2

Substitute x in either of the original equations to get the value of y

3x+y=9
3x+y=9

3⋅2+y=9
3⋅2+y=9

6+y=9
6+y=9

y=3
y=3
The solution of the linear system is (2, 3).


Hope this helps you better for your future...