algebra

[radicalrabit]

given the equation 3a+4b=33
a must be 3 so 3a=9
4b =33-9 24 so b=6
but how to you work it out


?really bugging me ?
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[smegballs]

So the question is: 3a+4b=33, when a =3 find b?

1. Substitute in your known values
2. Remove the integer (whole number from the LHS - left hand side) by subtraction.
4. Divide RHS (right hand side) by the coefficient of b - thats the 4.


3a+4b = 33

(3x3) + 4b = 33

9 + 4b = 33 ------------- Subtract 9 from both sides

4b = 24 --------------- divide both sides by 4

b = 6

Remember to stay equal any operation you do, you must do to both sides of the equation. As long as you follow that rule, you can't go too far wrong.

Tomorrow I'll post a pic from the maths test I had today

[Nexus Icon]

Didn't you cover this stuff at school? Algebra doesn't get much more basic than that*.

Smegballs has it right. The only thing I might do is include the line

4b = 33 - 9

Between

9 + 4b = 33

And

4b = 24

For total clarity.


*of course you might currently be at school, in which case I apologise.
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[radicalrabit]

What do I do to prove the values if we didnt already know what a and b were....
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[Derivative]

3a + 4b = 33

If you don't know a OR b, there are multiple answers that are possible.

Just limiting yourself to positive integer values gets you the following:

a = 11, b = 0
a = 7, b = 3
a = 3, b = 6

How does it work? This case is simple enough that you can basically try different numbers until it works.

If you want to prove the a = 3, b = 6 solution...

3(3) + 4(6)
9 + 24
33.

Works.

[smegballs]

[radicalrabit]

SO GLAD YOU SAID YOU CANT SOLVE IT WITH THE GIVEN INFORMATION

I was was beginning to think I was thick ... mind you compared with your homework I probably am .....
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[tbourner]

[radicalrabit]

NOOOO Goo-rab
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[Derivative]

[Ariel Badger]

How do you know a=3?
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[Skudd]

[Ariel Badger]

Get lost! if a did = 3 or -1 then b = 9 or 6
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[Skudd]

[Skudd]

And pie is always 6 portions.
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[iMark]

https://i.imgur.com/9LTV1ds.png


That is all.
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[daemonoid]

[BakesBeans]

If you do formula's in Excel, that is algebra!
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[Hetzer]

Jesus, and I thought working out the distance through a plate of angled armor was a mind-fuck.
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