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Posted by **jaclyn** on Wednesday, June 15, 2011 at 8:23pm.

- math -
**Ms. Sue**, Wednesday, June 15, 2011 at 8:25pmStart with the square root of 176. Go from there.

- math -
**jaclyn**, Wednesday, June 15, 2011 at 9:32pmthanx ms.sue it really help me solve the answer

- math -
**Ms. Sue**, Wednesday, June 15, 2011 at 9:42pmYou're welcome, Jaclyn.

- math -
**Henry**, Wednesday, June 15, 2011 at 9:48pmEq1: X - Y = 5.

Eq2: XY = 176.

Solve for Y in Eq2:

Y = 176/X,

In Eq1, substitute 176/X for Y:

X - 176/X = 5,

Multiply both sides by X:

X^2 - 176 = 5X,

X^2 - 5X - 176 = 0,

Solve using the Quadratic Formula and

get:

X = 16, and -11.

In Eq1, substitute 16 for X:

16 - Y = 5,

Y = 11.

In Eq1, substitute -11 for X:

-11 - Y = 5,

Y = -16.

Solution set: (X,Y)=(16,11),(-11,-16).

So 2 sets of numbers satisfy the required conditions.