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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

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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
  1. Write Equations: Write down the equations to be added. {5x−y=6 −2x+y=8\begin{cases} 5x - y = 6 \ -2x + y = 8 \end{cases}
  2. Add Equations: Add the equations together. When we add the equations, the 'y' terms will cancel out because they have opposite coefficients.\newline(5x−y)+(−2x+y)=6+8(5x - y) + (-2x + y) = 6 + 8
  3. Perform Addition: Perform the addition.\newline5x−y−2x+y=6+85x - y - 2x + y = 6 + 8\newline3x=143x = 14
  4. Final Result: The result of adding the two equations is 3x=143x = 14.

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