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What is the result of adding these two equations?

5x-y=6

-2x+y=8

What is the result of adding these two equations?\newline5xy=6 5 x-y=6 \newline2x+y=8 -2 x+y=8 \newline \square

Full solution

Q. What is the result of adding these two equations?\newline5xy=6 5 x-y=6 \newline2x+y=8 -2 x+y=8 \newline \square
  1. Write Equations: Write down the equations to be added.\newline5xy=65x - y = 6\newline2x+y=8-2x + y = 8
  2. Add Equations: Add the equations together to combine like terms.\newline(5xy)+(2x+y)=6+8(5x - y) + (-2x + y) = 6 + 8\newline5xy2x+y=145x - y - 2x + y = 14
  3. Combine Like Terms: Simplify the equation by combining like terms.\newline5x2x=3x5x - 2x = 3x\newliney+y=0-y + y = 0\newlineTherefore, 3x=143x = 14
  4. Final Equation: Write the final simplified equation.\newline3x=143x = 14

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