Question

twice a number plus three times a second number is negative one. the first number plus four times the second number is two

Answer 1

Explanation:

Let
`x,y` be the two numbers. Then we get

`2x+3y=-1`
`(a)`

`x+4y=2`
`(b)`

We solve equations
`(a)` and
`(b)` simultaneously:

equation
`(b)*2` :

`2x+8y=4`
`(c)`

`(c)-(a)` gives:

`5y=5\rightarrow y=1`

Sub
`y=1` into
`(a)` :

`2x+3*1=-1\rightarrow2x=-4\rightarrow x=-2`

The solution is -2,1