the sum of two numbers is 9. if one number is subtracted from the other, the result is 3. find the numbers

2 answers:

8 0

Let's say x to the first number and y to the second one.
We add them : $x+y=9$
Then we substract them : $x-y=3$
Now we add the equations:

$(x+y)+(x-y)=9+3\\ x+x+y-y=12\\ 2x=12\\ \\ x=\frac { 12 }{ 2 } \\ \\ x=6$

and finally rewrite the equation:

$6+y=9\\ y=9-6\\ y=3\\ \\ x=6\quad and\quad y=3$

irakobra [83]3 years ago

6 0

X, y - the numbers

The sum of the two numbers is 9.
$x+y=9$

If one number is subtracted from the other, the result is 3.
$x-y=3$

Solve the system of equations:
$x+y=9 \\
\underline{x-y=3} \\
x+x=9+3 \\
2x=12 \ \ \ |\div 2 \\
x=6 \\ \\
x+y=9 \\
6+y=9 \ \ \ |-6 \\
y=3$

The numbers are 6 and 3.

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3 years ago

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Read 2 more answers

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Vitek1552 [10]

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Step-by-step explanation: