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-3x+7y=5x+2y
Complete the missing value in the solution to the equation.

(-5,◻)

3x+7y=5x+2y -3 x+7 y=5 x+2 y \newlineComplete the missing value in the solution to the equation.\newline(5,) (-5, \square)

Full solution

Q. 3x+7y=5x+2y -3 x+7 y=5 x+2 y \newlineComplete the missing value in the solution to the equation.\newline(5,) (-5, \square)
  1. Write Equation and X-coordinate: Write down the given equation and the x-coordinate of the solution.\newlineThe given equation is 3x+7y=5x+2y-3x + 7y = 5x + 2y, and the x-coordinate of the solution is 5-5.
  2. Substitute X-coordinate: Substitute the xx-coordinate into the equation.\newlineSubstituting x=5x = -5 into the equation gives us 3(5)+7y=5(5)+2y-3(-5) + 7y = 5(-5) + 2y.
  3. Simplify Equation: Simplify both sides of the equation.\newlineSimplifying both sides gives us 15+7y=25+2y15 + 7y = -25 + 2y.
  4. Move Terms and Constants: Move the yy-terms to one side and the constant terms to the other side.\newlineSubtracting 2y2y from both sides gives us 15+5y=2515 + 5y = -25.
  5. Move Constant Term: Move the constant term on the left side to the right side.\newlineSubtracting 1515 from both sides gives us 5y=25155y = -25 - 15.
  6. Combine Constants: Combine the constant terms on the right side.\newlineCombining the constants gives us 5y=405y = -40.
  7. Divide by Coefficient: Divide both sides by the coefficient of yy to solve for yy. Dividing both sides by 55 gives us y=405y = -\frac{40}{5}.
  8. Calculate Y Value: Calculate the value of y. Calculating the value gives us y=8y = -8.

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