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If Q-(1)/(3)P=30, which of the following correctly gives P in terms of Q ? Choose 1 answer: (A) P=Q-90 (B) P=Q-30 (C) P=3Q-90 (D) P=3Q-30

If Q−13P=30 Q-\frac{1}{3} P=30 , which of the following correctly gives P P in terms of Q Q ?\newlineChoose 11 answer:\newline(A) P=Q−90 P=Q-90 \newline(B) P=Q−30 P=Q-30 \newline(C) P=3Q−90 P=3 Q-90 \newline(D) P=3Q−30 P=3 Q-30

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Full solution

Q. If Q−13P=30 Q-\frac{1}{3} P=30 , which of the following correctly gives P P in terms of Q Q ?\newlineChoose 11 answer:\newline(A) P=Q−90 P=Q-90 \newline(B) P=Q−30 P=Q-30 \newline(C) P=3Q−90 P=3 Q-90 \newline(D) P=3Q−30 P=3 Q-30
  1. Given equation: Start with the given equation.\newlineQ−13P=30Q - \frac{1}{3}P = 30
  2. Addition to isolate QQ: Add (1/3)P(1/3)P to both sides to isolate QQ on one side.\newlineQ=(1/3)P+30Q = (1/3)P + 30
  3. Multiply to solve for PP: Multiply both sides by 33 to solve for PP.3Q=P+903Q = P + 90
  4. Subtraction to get PP: Subtract 9090 from both sides to get PP by itself.\newline3Q−90=P3Q - 90 = P

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