Question

How do you solve the system `y = 5x − 2` and `y = 2x + 10`?

Answer 1

`y = 5x − 2`.....equation `(1)`
`y = 2x + 10`.....equation `(2)`

substituting equation `(1)` in equation `(2)`
`y = 2x + 10`
`5x − 2 = 2x+10`
`3x = 12`
`x = 4`

substituting the value of `x` in equation `(1)` to find `y`:
`y = 5x − 2`
`y = 5xx4 - 2`
`y = 18`

the solutions are `color(red)(x = 4 , y = 18`