# algebra 1

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

• algebra 1 -

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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