Problema Solution

Whitney is thinking of two numbers. Adding 9 times the first number and 2 times the second number gives a total of 10. Also, adding 9 times the first number and 6 times the second number gives -6. What are the two numbers?

Answer provided by our tutors

let


x = the first number


y = the second number


Adding 9 times the first number and 2 times the second number gives a total of 10:


9x + 2y = 10


Also, adding 9 times the first number and 6 times the second number gives -6:


9x + 6y = -6


by solving the system of equations:


9x + 2y = 10


9x + 6y = -6


we find:


x = 2


y = -4


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the two numbers are 2 and -4.