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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?\newline5x−y=6 5 x-y=6 \newline−2x+y=8 -2 x+y=8 \newline □\square

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Full solution

Q. What is the result of adding these two equations?\newline5x−y=6 5 x-y=6 \newline−2x+y=8 -2 x+y=8 \newline □\square
  1. Write Equations: Write down the equations to be added.\newline5x−y=65x - y = 6\newline−2x+y=8-2x + y = 8
  2. Add Equations: Add the equations together to combine like terms.\newline(5x−y)+(−2x+y)=6+8(5x - y) + (-2x + y) = 6 + 8\newline5x−y−2x+y=145x - y - 2x + y = 14
  3. Combine Like Terms: Simplify the equation by combining like terms.\newline5x−2x=3x5x - 2x = 3x\newline−y+y=0-y + y = 0\newlineTherefore, 3x=143x = 14
  4. Final Equation: Write the final simplified equation.\newline3x=143x = 14

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