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

1 Answer
May 18, 2018

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