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What value of qq is a solution to this equation?\newline2q=22q = 2\newlineChoices:\newline(A)q=1q = 1\newline(B)q=2q = 2

Full solution

Q. What value of qq is a solution to this equation?\newline2q=22q = 2\newlineChoices:\newline(A)q=1q = 1\newline(B)q=2q = 2
  1. Identify Operation: Identify the operation to solve for qq. The equation is 2q=22q = 2, which is a simple linear equation where qq is multiplied by 22. To solve for qq, we need to perform the inverse operation, which is division.
  2. Divide to Isolate qq: Divide both sides of the equation by 22 to isolate qq. To get qq by itself, we divide both sides of the equation by 22. This gives us q=22q = \frac{2}{2}.
  3. Perform Division: Perform the division to find the value of qq.\newlineCalculating 22\frac{2}{2} gives us 11. Therefore, q=1q = 1.
  4. Check Solution: Check the solution by substituting the value of qq back into the original equation.\newlineSubstitute q=1q = 1 into the original equation: 2(1)=22(1) = 2. This simplifies to 2=22 = 2, which is true.