Posted by **kit kat** on Sunday, December 4, 2011 at 2:03pm.

The difference of two numbers is 5. Three times the larger, decreased by 5 times the smaller is 7. Find the numbers

- algebra 1 -
**Henry**, Sunday, December 4, 2011 at 3:03pm
X = The larger n#.

Y = The smaller #.

Eq2: X - Y = 5.

Eq2: 3X - 5Y = 7

Multiply Eq1 by -3:

-3X +3Y = -15

3X - 5Y = 7

Sum: -2y = -8,

Y = 4.

In Eq1,substitute 4 for Y:

x - 4 = 5,

X = 9.

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