Problema Solution

The difference of two numbers, a and b, is 21. The difference of 5 times a and two times b is 18. What are the values of a and b?

Answer provided by our tutors

a - b = 21


5a - 2b = 18


by solving the system of equations we find


a = - 8


b = - 29


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indeed


-8 - (-29) = 21


5*(-8) - 2(-29) = 18


the solution is a = -8 and b = -29.