Let x and y be the numbers

:

Write an equation for each statement:

:

"the larger of two numbers is 4 less than 5 times the smaller."

x = 5y - 4

;

" when the smaller number is subtracted from the larger, the difference is 4."

x - y = 4

x = y + 4

:

find the two numbers

Replace x with (y+4) in the 1st equation, find y

y + 4 = 5y - 4

4 + 4 = 5y - y

8 = 4y

y =

y = 2

then

x = y + 4

x = 2 + 4

x = 6

;

;

Check the solution in the statement:

"the larger of two numbers is 4 less than 5 times the smaller."

6 = 5(2) - 4

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