Question

How do you solve by substitution `2x + 3y = 1` and `y = x – 8`?

Answer 1

`2x + 3y = 1` .......equation `(1)`
`y = color(red)(x – 8` ...............equation `(2)`

Substituting equation `(2)` in equation `(1)` to find `x`

Explanation:

`2x + 3y = 1`
`2x + 3color(red)((x-8)= 1`
`2x +3x - 24 = 1`
`5x = 25`

`color(blue)(x = 5`

Substituting `x` in equation `(2)` to find `y`

`y = x-8`
`y = 5-8 , color(blue)(y =-3`

The solutions for the system of equations are
`color(blue)( x=5, y=-3`