y= 2x+6 y=2x-3

Question

Solve the system of equation

Answer 1

If we were to graph both of these equations on the same coordinate system, they will be parallel because they have the same slope.  Their slopes are 2.  We only have a solution if the lines intersect and share a common point.  Parallel lines never intersect.  So there are NO solutions here.

Answer 2

already answered below.

Answer 3

There are no values of x and y where that is possible

 

Take the first equation and set the second equal to it

 

       y=2x+6

and  y=2x-3

 

 

so y = 2x+6=2x-3

 

Subtract 2x from both sides

 

6 = -3

 

Impossible.