Question

how many solutions does the linear equation 2 variable 3X +6y =9 have and why?​

Answer 1

Answer:

infinite solutions

Step-by-step explanation:

this happen when all number are solution . This situation means that there is no one solution .

Answer 2

Step-by-step explanation:

solution of 3x + 6y = 9

let x = 1 = 3(1) + 6y = 9

3 + 6y = 9

6y = 9 - 3

6y = 6

y = 6 ÷ 6 = 1

( 1,1 ) is the solution

let x = 2 = 3(2) + 6y = 9

6 + 6y = 9

6y = 9 - 6

6y = 3

y = 3 ÷ 6 = 2

( 2,2 ) is the solution

let x = 3 = 3(3) + 6y = 9

9 + 6y = 9

6y = 9 - 9

6y = 0

y =6

( 3,6 ) is the solution