Question

How do you solve the system : `-2x+5y=-3`, `-4x+10y=6`?

Answer 1

There are no real solutions.

Explanation:

`5y=2x-3`
`y=2/5x-3/5` solve for y in terms of x
`-4x+10(2/5x-3/5)=6` plug into other equation
`-4x+20/5x-30/5=6` distribute
`-4x+4x-6=6`
`0=12`
The above statement is false, so there are no real solutions.