Problema Solution

One number is four less than a second number. Twice the first number 13 more than 5 times the second. Find the numbers.

Answer provided by our tutors

let


x = the first number


y = the second number


One number is four less than a second number:


x = y - 4


Twice the first number is 13 more than 5 times the second:


2x = 13 + 5y


by solving the system of equations:


x = y - 4


2x = 13 + 5y


we find:


x = -11


y = -7


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the numbers are -11 and -7.