Question

What is the solution to the system of equations?{y=−5x+1}{−5x−y=−3}

Answer 1

Answer:
`(0.2,2)`

Explanation:

`-5x-y=-3`

add y on both side of the equation

`-5x=y-3`

add 3 on both side of the equation

`y=-5x+3`

Then insert
`-5x+3` as y in the equation
`y =5x+1`

`5x+1=-5x+3`

add 5x on both side of the equation

`10x+1=3`

minus 1 on both side of the equation

`10x=2`

divide by 10 on both side of the equation

`x=0.2`

That is how you get x

To get y, you would sub 0.2 for x in the equation
`y=5x+1` or
`-5x-y=-3`, I prefer the first equation

`y=5x+1`

sub 0.2 for x

`y=5(0.2)+1`

multiply 5 by 0.2

`y=1+1`

add them up

`y=2`

and there you go for y

The solution would be in a
`(x,y)` form. So,
`(0.2, 2)` would be our answer.