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Identify the variable which is best to substitute for when solving with the substitution method: (1)(1)𝑞q==4𝑝+144p+14 (2)(2)𝑞q==𝑝+5p+5

Question

Identify the variable which is best to substitute for when solving with the substitution method: (1)(1)𝑞q==4𝑝+144p+14 (2)(2)𝑞q==𝑝+5p+5

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Solution

The best variable to substitute in this case would be 'q'. This is because in both equations, 'q' is already isolated, which makes the substitution process easier.

Here are the steps:

  1. From equation (2), we know that q = p + 5.
  2. We can then substitute q in equation (1) with p + 5. So, equation (1) becomes: p + 5 = 4p + 14.
  3. Now, you can solve for 'p' and then substitute 'p' back into equation (2) to find 'q'.

This problem has been solved

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