Answered

Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

One number is 2 more than 3 times another. Their sum is 22. Find the numbers.

Sagot :

iGreen
Make a system of equations.

[tex]\sf~x=3y+2[/tex]
[tex]\sf~x+y=22[/tex]

Re-arrange the 2nd equation:

[tex]\sf~x+y=22[/tex]

Subtract y to both sides:

[tex]\sf~x=-y+22[/tex]

Plug in -y + 22 for 'x' in the first equation.

[tex]\sf~x=3y+2[/tex]

[tex]\sf~-y+22=3y+2[/tex]

Subtract 3y to both sides:

[tex]\sf~-4y+22=2[/tex]

Subtract 22 to both sides:

[tex]\sf~-4y=-20[/tex]

Divide -4 to both sides:

[tex]\sf~y=\boxed{\sf5}[/tex]

Plug this into any of the two equations to find 'x':

[tex]\sf~x+y=22[/tex]

[tex]\sf~x+5=22[/tex]

Subtract 5 to both sides:

[tex]\sf~x=\boxed{\sf17}[/tex]

So one of the numbers is 5 and one of them is 17.
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.