Problema Solution

three times a number plus seven times a second number equals 49. five times the first number minus four times the second number equals 19. find the two numbers

Answer provided by our tutors

let


x = the first number

y = the second number


three times a number plus seven times a second number equals 49


3x + 7y = 49


five times the first number minus four times the second number equals 19


5x - 4y = 19


by solving the system of equations


3x + 7y = 49

5x - 4y = 19


we find


x = 7


y = 4


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the numbers are 7 and 4.