Question

Eight times a number plus five times another number is -13. the sum of the two numbers is 1. what are the numbers?

Answer 1

Numbers are `-6` and `7`.

Explanation:

`x` = 1st Number
`y` = 2nd Number

`8x + 5y = -13`
`x + y = 1`

Solving 2nd Equation for `y`:
`y = 1 - x`

Substitute into 1st Equation:
`8x + 5(1-x) = -13`
`8x + 5 - 5x = -13`
`3x + 5 = -13`
`3x = -18`
`x = -6`

Solve for `y`:
`y = 1 - (-6) = 7`