xokatexo
One number is 4 more than three times a smaller number. If twice the larger number is decreaased by three times the smaller number, the result is 32. Find the number. I know the answer but i need help solving it because i have a test tomorrow thanks!
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inkyvoyd
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Okay. One number is 4 more than 3 times a smaller number. Sounds like we have two numbers. So let's set
x=larger number
y=smaller number.
xokatexo
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i did x= the smaller
2x+4= the larger
inkyvoyd
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Okay. Then x is the smaller, and 2x+4 is the larger.
inkyvoyd
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Are you learning systems of equations? or just one variable?
xokatexo
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we learned system of equations last year
inkyvoyd
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Okay. I'll straight up tell you that while it might be possible to solve this with just x as a variable, it will be much less confusing to do with x and y.
xokatexo
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okay so ill use x and y thankss
inkyvoyd
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Alright. Now really the only reason I set x as the larger number is because it turned up first. y as the smaller number cause it turned up second.
inkyvoyd
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We are looking for two equations that relate x and y. can you figure out the first?
xokatexo
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3x+4?
inkyvoyd
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mm. Close, but remember that x is the larger number. You should be getting
3y+4=x
xokatexo
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wait no 2(3x+4)-3x=32
xokatexo
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ohh wait what?
inkyvoyd
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One number is 4 more than three times a smaller number.
inkyvoyd
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We have a number x that is 4 more than 3 times a smaller number.
xokatexo
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ok i got that but then whats the second?
inkyvoyd
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and the smaller number is y.
so we have
x is 4 more than 3 times y.
or, x=4+3y
in other words
3y+4=x
inkyvoyd
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If twice the larger number is decreaased by three times the smaller number, the result is 32.
inkyvoyd
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Replace the larger number and smaller number to what we have set them to, x and y ;)
Tell me what you get...
xokatexo
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2x-3y=32
inkyvoyd
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Yes. Good!
Now we set up the system.
3y+4=x
2x-3y=32
xokatexo
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substitution
inkyvoyd
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yup.
xokatexo
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i got 10.6 repeting
inkyvoyd
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Can you show your work? that's not the right answer :S
xokatexo
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@inkyvoyd
2(3y+4)-3y=32
6y+8-3y=32
3y+8=32
-8 -8
--------------
3y=32
--- ---
3 3
y=10.66666666666666666666666666
inkyvoyd
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3y+8=32
catch: 3y+8=24
inkyvoyd
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y=3
xokatexo
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so x is 13:)
inkyvoyd
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No, check again :)
xokatexo
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3(3)+4=x
13=x
xokatexo
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oh i get itt
xokatexo
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thankss sooo muchh
inkyvoyd
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yeah sorry, I made a mistake to. y=8 lol
xokatexo
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TANK YOU
inkyvoyd
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No problem :)