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1. x * y = 100

2. x - y = 5

y = x - 5

3. x * x - 5 = 100

x2 -5x = 100

x2 - 5x - 100 = 0

Using the quadratic formula this solves to:

x = 12.808 (to 3 decimal places) and - 7.808 (accurate to 3 decimal places).

As y = x - 5 then

y = 12.808 - 5 = 7.808

and

y = -7.808 - 5 = -12.808

Thus the answers are 12.808 and 7.808 or -7.808 and - 12.808 (accurate only to 3 decimal places - for increased accuracy use the quadratic formula and round the numbers to more decimal places).

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