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Doctors Medicines MCQs Q&A

  1. m = 4, n = 2
  2. m = 3, n = 1.5
  3. m = 4, n = 1.5
  4. m = 3, n = 3
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1 Answers

Option 2 : m = 3, n = 1.5

Given:

The given equation is 2xm - 3 + 3y2n - 2 = 7

Concept used:

According to the given equation in the question, there are two variables x and y. But we have to convert this to a linear equation in one variable.

Formula used:

The form of a linear equation in one variable = ax + b = 0

Calculation:

The given equation is 2xm - 3 + 3y2n - 2 = 7

There will be one variable. Then the power of either x or y will be 0.

We will calculate the values of m and n for two cases.

If we take the only variable x,

Then, m-3 = 1 ⇒ m = 4

and 2n - 2 = 0 ⇒ n = 2/2 = 1

The values of m and n will be 4 and 1 respectively but these values are not in the given options.

Let's justify another case for only variable y,

Then, m - 3 = 0 ⇒ m = 3

and, 2n - 2 = 1 ⇒ n = (1 + 2)/2

⇒ n = 3/2 = 1.5

The values of m and n will be 3 and 1.5 respectively and these values are available in the given options.

∴​ The values of m and n, m = 3, n = 1.5

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