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Andrej [43]
3 years ago
5

Solve for B: AB + 3C = D

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
3 0

If we want to get B by itself, we need to "undo" every operation being done to it. Those operations are (in order):

  • Multiplication by A
  • Addition with 3C

To undo these then, we'll need to:

  • Subtract 3C
  • Divide by A

And, since this is an equation, we'll need to do both of those to the right side as well to keep everything equal. Here we go:

AB + 3C - 3C = D - 3C (subtracting 3C)

AB/A = (D - 3C)/A (dividing by A)

B = (D - 3C)/A

And we're done! If you'd like to see it formatted a little nicer, here's this:

B=\dfrac{D-3C}{A}

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