Solve for r in terms of q
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Questions and Answers

What is the value of r in terms of q using the given equations?

  • (-16+2q)/6
  • (-18-3q)/4
  • (24-3q)/7
  • (21-3q)/7 (correct)
  • The smallest number divisible by 2 and 3 is 5.

    False

    What is the least common multiple of 2 and 3?

    6

    The value of w in the given equation is the smallest number divisible by 2 and _____.

    <p>3</p> Signup and view all the answers

    Match the following terms with their definitions:

    <p>p+q+2r=4 = An equation with three variables 2p-3q-2w=14 = An equation with four variables Smallest number divisible by 2 and 3 = The least common multiple of 2 and 3 Least common multiple = A number that is a multiple of both numbers</p> Signup and view all the answers

    Study Notes

    Equations and Variables

    • We have two equations: p + q + 2r = 4 and 2p - 3q - 2w = 14.
    • The variables are p, q, r, and w.
    • w is the smallest number divisible by both 2 and 3.

    Objective

    • We need to find the value of r in terms of q.

    Solution Options

    • Option A: r = (21 - 3q) / 7
    • Option B: r = (-16 + 2q) / 6
    • Option C: r = (24 - 3q) / 7
    • Option D: r = (-18 - 3q) / 4

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    Description

    Given two equations, solve for r in terms of q. The equations are: p+q+2r=4 and 2p-3q-2w=14, where w is the smallest number divisible by 2 and 3.

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