Answered

Get the best answers to your questions with the help of IDNLearn.com's experts. Our experts provide timely and accurate responses to help you navigate any topic or issue with confidence.

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

Sagot :

Naǫidn
x, y - the numbers

The sum of the two numbers is 9.
[tex]x+y=9[/tex]

If one number is subtracted from the other, the result is 3.
[tex]x-y=3[/tex]

Solve the system of equations:
[tex]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[/tex]

The numbers are 6 and 3.
Let's say x to the first number and y to the second one.
We add them : [tex]x+y=9[/tex]
Then we substract them : [tex]x-y=3[/tex]
Now we add the equations: 

[tex](x+y)+(x-y)=9+3\\ x+x+y-y=12\\ 2x=12\\ \\ x=\frac { 12 }{ 2 } \\ \\ x=6[/tex]

and finally rewrite the equation:

[tex]6+y=9\\ y=9-6\\ y=3\\ \\ x=6\quad and\quad y=3[/tex]
We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Discover the answers you need at IDNLearn.com. Thank you for visiting, and we hope to see you again for more solutions.