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If 3c-5=d, which of the following correctly gives c in terms of d ? Choose 1 answer: (A) c=(d-5)/(3) (B) c=(d+5)/(3) (c) c=3d-5 (D) c=3d+15

If 3c−5=d 3 c-5=d , which of the following correctly gives c c in terms of d d ?\newlineChoose 11 answer:\newline(A) c=d−53 c=\frac{d-5}{3} \newline(B) c=d+53 c=\frac{d+5}{3} \newline(C) c=3d−5 c=3 d-5 \newline(D) c=3d+15 c=3 d+15

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Full solution

Q. If 3c−5=d 3 c-5=d , which of the following correctly gives c c in terms of d d ?\newlineChoose 11 answer:\newline(A) c=d−53 c=\frac{d-5}{3} \newline(B) c=d+53 c=\frac{d+5}{3} \newline(C) c=3d−5 c=3 d-5 \newline(D) c=3d+15 c=3 d+15
  1. Given equation: We are given the equation 3c−5=d3c - 5 = d. To solve for cc in terms of dd, we need to isolate cc on one side of the equation.
  2. Step 11: Add 55 to both sides of the equation to cancel out the −5-5 on the left side. This gives us 3c=d+53c = d + 5.
  3. Step 22: Now, divide both sides of the equation by 33 to solve for cc. This gives us c=d+53c = \frac{d + 5}{3}.
  4. Step 33: Check the answer choices to see which one matches our derived expression for cc. The correct answer is (B) c=d+53c = \frac{d + 5}{3}.

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