Q. −3x+7y=5x+2yComplete the missing value in the solution to the equation.(−5,□)
Write Equation and X-coordinate: Write down the given equation and the x-coordinate of the solution.The given equation is −3x+7y=5x+2y, and the x-coordinate of the solution is −5.
Substitute X-coordinate: Substitute the x-coordinate into the equation.Substituting x=−5 into the equation gives us −3(−5)+7y=5(−5)+2y.
Simplify Equation: Simplify both sides of the equation.Simplifying both sides gives us 15+7y=−25+2y.
Move Terms and Constants: Move the y-terms to one side and the constant terms to the other side.Subtracting 2y from both sides gives us 15+5y=−25.
Move Constant Term: Move the constant term on the left side to the right side.Subtracting 15 from both sides gives us 5y=−25−15.
Combine Constants: Combine the constant terms on the right side.Combining the constants gives us 5y=−40.
Divide by Coefficient: Divide both sides by the coefficient of y to solve for y. Dividing both sides by 5 gives us y=−540.
Calculate Y Value: Calculate the value of y. Calculating the value gives us y=−8.
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