Question

Solve the system of equations. 2x-6y=8 x-3y=9 Plz help I’m superrr confused

Answer 1

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 no solution 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.