What values of 𝑚m and 𝑛n make both of these equations true? 2𝑛2n==𝑚+6m+6𝑛−3𝑚n−3m==33

Question

What values of 𝑚m and 𝑛n make both of these equations true? 2𝑛2n==𝑚+6m+6𝑛−3𝑚n−3m==33
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Solution 1

The given equations are:

  1. 2n = m + 6
  2. n - 3m = 33

Let's solve these equations step by step:

Step 1: From equation 1, express m in terms of n: m = 2n - 6

Step 2: Substitute m from equation 1 into equation 2: n - 3(2n - 6) = 33 n - 6n + 18 = 33 -5n = 33 - 18 -5n = 15 n = 15 / -5 n = -3

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Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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