If a/b = 0.25, then 2a + 3b = ?

Published on September 3, 2024

Algebra

If a/b = 0.25, find the value of 2a + 3b in terms of b. The solution shows step-by-step how to substitute and simplify the expression to get the final answer: 7b/2.

Question

Answer

Let’s solve this problem step by step:

We’re given that
This can be written as a fraction:
This means that
Now, let’s look at the expression we need to evaluate:
We can substitute with :
Let’s simplify the first term:
Now we can add the terms:
Therefore,

The final answer is

. We can’t simplify further because we don’t know the value of

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