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Jika rata-rata dari 55 bilangan 7,5,2y,−17,3y+27, 5, 2y, -17, 3y+2, dan xx adalah yy, maka x=x= Answer

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Q. Jika rata-rata dari 55 bilangan 7,5,2y,−17,3y+27, 5, 2y, -17, 3y+2, dan xx adalah yy, maka x=x= Answer
  1. Identify Formula: Identify the formula for the average of a set of numbers.\newlineThe average of a set of numbers is the sum of the numbers divided by the number of numbers. The formula can be represented as ∑numbersnumber of numbers\frac{\sum \text{numbers}}{\text{number of numbers}}.
  2. Apply Formula: Apply the average formula to the given set of numbers.\newlineThe average of the numbers 77, 55, 2y2y, −17-17, 3y+23y+2, and xx is the sum of these numbers divided by 66, which is given to be yy.\newlineSo, (7+5+2y−17+3y+2+x)/6=y(7 + 5 + 2y - 17 + 3y + 2 + x) / 6 = y
  3. Simplify Equation: Simplify the equation to find xx. Combine like terms in the numerator. (7+5−17+2+2y+3y+x)6=y\frac{(7 + 5 - 17 + 2 + 2y + 3y + x)}{6} = y (−3+5y+x)6=y\frac{(-3 + 5y + x)}{6} = y
  4. Multiply by 66: Multiply both sides of the equation by 66 to eliminate the denominator.\newline6×((−3+5y+x)/6)=6×y6 \times ((-3 + 5y + x) / 6) = 6 \times y\newline−3+5y+x=6y-3 + 5y + x = 6y
  5. Isolate x: Isolate x on one side of the equation.\newlinex=6y−5y+3x = 6y - 5y + 3\newlinex=y+3x = y + 3
  6. Final Answer: Since the average of the numbers is yy, and we have found that x=y+3x = y + 3, we have the final answer.

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