Question

How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent `4x+y=4` and `5x+6y=-14`?

Answer 1

`x=2`
`y=-4`

Explanation:

Plot the graphs of `4x+y=4` and `5x+6y=-14` then take note of the intersection which is at `(2, -4)`

graph{(4x+y-4)(5x+6y+14)=0[-20,20,-10,10]}

God bless....I hope the explanation is useful.