Question

how to find the solution of the equations 3x+9y=2 and 9x+3y=4.

Answer 1

Hey mate,

Just multiply the first equation by 3 and jubtract 2 from 1

24y = 2
y = 1/12

now put y in 1

3x + 3/4 = 2

3x = 5/4

x = 5/12

hope this helps you out!

Answer 2

1. 3x + 9y = 2

The given equation is Linear equation in two variables.

To find the solutions for this equation, firstly make the equation for the variable y

=> So we have --

3x + 9y = 2

9y = 2 - 3x ----- (1)

To find the solution,

Firstly put x = 0 in eq. (1)

we get --


9y = 2 - 3(0)


9y = 2

y = 2/9

first solution = (0, 2/9)


Now, put x = 1 in eq. (1)

9y = 2 - 3(1)

9y = 2 - 3

9y = -1

y = -1/9

Second solution = (1, -1/9)

you can find infinity number of solutions by putting different values of one variable.


2. 9x + 3y = 4


=> 3y = 4 - 9x ....... (1)

put x = 0 in eq. (1)


3y = 4 - 9(0)

3y = 4 - 0

3y = 4

y = 4/3


First solution = (0, 4/3)


Now, put x = 1 in eq. (1)


3y = 4 - 9(1)


3y = 4 - 9

3y = -5

y = -5/3

Second solution = (1,-5/3)


Infinity number of solutions can be found by putting different values of one variable.