Question

How do you solve the system of equations by graphing `x-y=2, 2x=2y+10`?

Answer 1

There is no solution.

Explanation:

We have two simultaneous equations:

`{ (x-y = 2, ......[A]), (2x=2y +10, ......[B]) :}`

Dividing equation [B] by `2` and rearranging we get:

`{ (x-y = 2, ......[A]), (x-y =5, ......[C]) :}`

And we see the equations are inconsistent, which we can validate graphically:

graph{(x-y - 2)(2x-2y -10)=0 [-10, 10, -5, 5]}