Question

How do you solve using the addition method and determine if the system is independant, dependant, inconsistant given 2y-x=3 and x=3y-5?

Answer 1

I found:
`x=1`
`y=2`
independent

Explanation:

We can add together, in columns, the two equations after a bit of rearranging to make them easier to add:
`{(-x+2y=3),(x-3y=-5):}`
`color(red)(0-y=-2`
So that `y=2`
substituting back into, say, your first equation we get:
`-x+4=3`
and: `x=1`
One solution: system consistem and independent.