Question 1074770
let x = one of the numbers
let y = the other number.


8x + 5y = -13


x + y = 1


solve for y in the second equation to get y = 1 - x


replace y with 1 - x in the first equation to getr 8x + 5 * (1 - x) = -13


simplify to get 8x + 5 - 5x = -13


combine like terms to get 3x + 5 = - 13


subtract 5 from both sides of the equation to get 3x = -18


solve for x to get x = -6


x + y = 1 becomes -6 + y = 1


solve for y to get y = 7


your solution should be x = -6 and y = 7


in the first equation, replace x with -6 and y with 7 to get 8x + 5y = -13 becomes 8 * -6 + 5 * 7 = -13


simplify this to get -48 + 35 = -13


combine like terms to get -13 = -13.


this confirms the solution is correct because both equations are true when x = -6 and y = 7.