Question

How do you solve the following system: #4x + y = -1 , 5x - 7y = 12 #?

Answer 1

`x=5/33`
`y=-5/3`
`(5/33, -5/3)`

Explanation:

`4x+y=-1`, `5x-7y=12`
Take the first equation, `4x+y=-1`, and isolate `y`:
`y=-4x-1`. We can substitute this value into the second equation:
`5x-7(-4x-1)=12`. Distribute the parentheses:
`5x+28x+7=12` Combine like terms, isolate `x` and coeffecient:
`33x=5` Isolate `x`:
`x=5/33` Input this value into the first equation:
`4(5/33)+y=-1` Distribute `y`
`20/33+y=-1` Isolate `y`
`y=-55/33`
`y=-5/3`