Three times one number added to five times another number is 54. The second number is two less than the first. Use a system of equations to find the numbers.

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Mathematics

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Three times one number added to five times another number is 54. The second number is two less than the first. Use a system of equations to find the numbers.

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6417id 6417id · Answer 1

6417id 6417id

3x + 5y = 54

y = x - 2
________________________________________________________
3x + 5(x - 2) = 54
3x + 5x -10 = 54
8x = 64
x = 8

y = x - 2
y = 8 - 2
y = 6

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