SOLUTION: Solve each system graphically. Be sure to check your solution. If a system has an infinite number of solutions, use set−builder notation to write the solution set. If a syste

Algebra ->  Linear-equations -> SOLUTION: Solve each system graphically. Be sure to check your solution. If a system has an infinite number of solutions, use set−builder notation to write the solution set. If a syste      Log On


   

Question 478367: Solve each system graphically. Be sure to check your solution. If a system has an infinite number of solutions, use set−builder notation to write the solution set. If a system has no solution, state this.
6x − 2y = 2,
9x − 3y = 1
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve each system graphically. Be sure to check your solution. If a system has an infinite number of solutions, use set−builder notation to write the solution set. If a system has no solution, state this.
6x − 2y = 2,
9x − 3y = 1
------------
Multiply 1st equation by 3.
Multiply 2nd equation by 2.
18x - 6y = 6
18x - 6y = 2
---
Subtract to get:
0 = 4
----
That is a contradiction indicating the
system does not have a solution.
---
Graphing will show the two lines are parallel:
graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C3x-%281%2F3%29%2C3x-1%29
Cheers,
Stan H.