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

Question

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

anonymous · Answer

no solutions

anonymous · Answer

the row reduced echelon form of {{6,-2 2},{9,-3,1}} is inconsistent.

anonymous · Answer

Or the determinant of the coefficient matrix = 0, and divisibility by zero is undefined so there are no solutions for either x of y therefore the system of equations is inconsistent

anonymous · Answer

Or the graphs of 6x-2y=2 and 9x-3y=1 are lines with no intersection (parallel to each other)

6x-2y=2 can also be written as 3x-1=y
9x-3y=1 can also be written as 3x-1/3=y
 
both a parallel to each other