SOLUTION: Consider the following system of equations: { 5x + 3y = 29 15x + 9y = 30 Then. Does this system have one solution, no solution or infinite solutions,

Algebra ->  Equations -> SOLUTION: Consider the following system of equations: { 5x + 3y = 29 15x + 9y = 30 Then. Does this system have one solution, no solution or infinite solutions,      Log On


   

Question 201821: Consider the following system of equations:
{ 5x + 3y = 29
15x + 9y = 30
Then. Does this system have one solution, no solution or infinite solutions,
Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
Please also see problem # 201818
.
(1) 5x +3y =29,,,,y= (-5/3)x +29/3
.
(2) 15x +9y = 30,,,y= (-5/3)x +30/9
.
As both lines have the same slope, they are parallel.
HOWEVER, they are not coincident,(constants are not same),
Therefore they do not intercept, and there is NO SOLUTION
.