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If a/2-b/3 = 1 what is 2a+3b in terms of b

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If a/2-b/3 = 1, then we can write:

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

Combining like terms, we have:

a - b/3 = 1

Multiply both sides by 3 to get:

3a - b = 3

Now, we can add b to both sides of the equation:

3a = b + 3

Finally, we can divide both sides by 3 to get:

a = (b + 3)/3

Now we can substitute this value of a into the original equation

2a + 3b = 2(b + 3)/3 + 3b = 2b/3 + 6/3 + 3b = 2b + 2 + 3b = 5b + 2

So 2a+3b = 5b + 2 in terms of b

User James Irwin
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