Question

How do you solve the system `y=4x-5` and `x=2` by substitution?

Answer 1

`x = 2` and `y = 3`

Explanation:

The value of `x` is given in the second equation, so all you have to do is substitute that value for `x` in the first equation and then solve for `y`:
`y = 4x - 5`
`y = 4(2) - 5`
`y = 8 - 5`
`y = 3`

Answer 2

`(x,y)to(2,3)`

Explanation:

`"we can substitute "x=2" directly into the other equation"`
`"and solve for y"`

`x=2rArry=(4xx2)-5=8-5=3`

`"the point of intersection "=(2,3)`
graph{(y-4x+5)(y-1000x+2000)((x-2)^2+(y-3)^2-0.04)=0 [-10, 10, -5, 5]}