Respuesta :
Answer:
One number is -6 and the other number is 7.
Step-by-step explanation:
Let x be one of the numbers and y be the other number.
So 8x + 5y = -13.
Also, x + y = 1
These two equations are the algebraic version of the words in the problem.
We need to solve this system of equations. You may be studying solving systems of equations using substitution or elimination method or even matrices. I will show you here using elimination method, sometimes called addition or subtraction method.
We need to multiply x+y=1 by -5.
-5(x + y = 1)
-5x - 5y = -5
We can stack the two equation and add them together to eliminate one of the variables.
8x + 5y = -13
-5x - 5y = -5
___________ Add.
3x = -18
3x = -18 Now divide by 3.
x = -6
Put thus value back into one of the original equations.
x = -6
x + y = 1
Substitute.
-6 + y = 1
Add 6.
y = 7
When one number is -6 and the other number is 7, then both equations will be true.
