2. The sum of two numbers is 6 and their difference
is 4. Find the numbers.
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Answer:
x = first number
y = second number
x + y = 6
x - y = 4
Isolate the variable x in the first equation and plug it into the second equation.
x = 6 - y
6 - y - y = 4
6 - 2y = 4
-2y = -2
y = 1
Plug y back into the first equation to find x.
x + 1 = 6
x = 5
Check!
If x = 5 and y = 1,
5 + 1 = 6
5 - 1 = 4
The first number is 5, and the second number is 1.
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