Answer:
There is no solution to this system of equations. The lines do not intersect.
Step-by-step explanation:
Step 1 : See if either x or y can be eliminated.
2x-6y=8
2(x-3y=9)
2x - 6y = 8
2x - 6y = 18
There is <em>no solution</em> to this system of equations as they don't intersect. Notice how we can't cancel out the x or y without canceling the other unknown variable?
Proof : Rearranging the equations above into y = mx + b form, we get
Equation 1 : y = 1/3x - 4/3
Equation 2 : y = 1/3x - 3
A system of equations has no solution when the slopes are the same and both equations have different y intercepts.
