Question

what are the two solutions for the equations 4x + 3y = 12

Answer 1

The given equation is 4x + 3y = 12

For x=0, 
4×0 + 3y = 12
⇒ 3y = 12 - 0
⇒ 3y = 12
⇒ y = 12/3 
⇒ y = 4
So (0,4) is a solution.

For x=1, 
4×1 + 3y = 12
⇒ 3y = 12 - 4
⇒ 3y = 8
⇒ y = 8/3 
So (1,8/3) is a solution.

For x=2, 
4×2 + 3y = 12
⇒ 3y = 12 - 8
⇒ 3y = 4
⇒ y = 4/3 
So (2,4/3) is a solution.

For x=3, 
4×3 + 3y = 12
⇒ 3y = 12 - 12
⇒ 3y = 0
⇒ y = 0/3 
⇒ y = 0
So (3,0) is a solution.

Four solutions are: (0,4); (1,8/3); (2,4/3); (3,0)

Take any two, O,4 and 3,0 would be easy.