Question

How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent `Y=-2x-5`, `Y=x-2`?

Answer 1

`x = -1, y = -3`

Explanation:

`y + 2x = -5` Eqn 1
`y - x = -2` Eqn 2

Multiply Eqn 2 by 2
`2y - 2x = -4` Eqn 3

Add Eqn 1 and 3
`3y+2x-2x = -5-4`
`3y = -9`
`y = -3`
Substituting value of y in Eqn 2
`-3 -x = -2`
`-x = 1 or x = -1`