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#