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How do you solve #3(3a = 2b) = 2(a - b)#?

Answer 1

Genesis Allen

#7a = 4b#

Use PEMDAS rule

#3 (3a - 2b) = 2 (a-b)#

#9a - 6b = 2a - 2b#, removing braces.

#9a - 2a = 6b - 2b#, bringing like terms together.

#7a = 4b#, simplifying.

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Answer 2

Ethan Adkins

To solve the equation 3(3a - 2b) = 2(a - b), first distribute the terms inside the parentheses:

3 * 3a - 3 * 2b = 2 * a - 2 * b

This simplifies to:

9a - 6b = 2a - 2b

Next, isolate the variable terms on one side of the equation and constants on the other side:

9a - 2a = -2b + 6b

Combine like terms:

7a = 4b

Finally, solve for a by dividing both sides of the equation by 7:

a = (4/7)b

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.