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What is the result of adding these two equations?

{:[-2x+7y=-5],[-2x-4y=6]:}

What is the result of adding these two equations?\newline2x+7y=52x4y=6 \begin{array}{l} -2 x+7 y=-5 \\ -2 x-4 y=6 \end{array}

Full solution

Q. What is the result of adding these two equations?\newline2x+7y=52x4y=6 \begin{array}{l} -2 x+7 y=-5 \\ -2 x-4 y=6 \end{array}
  1. Write Equations: First, we will write down the two equations that we need to add together:\newlineEquation 11: 2x+7y=5-2x + 7y = -5\newlineEquation 22: 2x4y=6-2x - 4y = 6\newlineWe will add the left sides of the equations together and the right sides of the equations together.
  2. Add Equations: Adding the left sides of the equations gives us:\newline(2x+7y)+(2x4y)=4x+3y(-2x + 7y) + (-2x - 4y) = -4x + 3y\newlineAdding the right sides of the equations gives us:\newline5+6=1-5 + 6 = 1\newlineSo, after adding the two equations, we get:\newline4x+3y=1-4x + 3y = 1
  3. Combine Result: Now, we have the combined equation:\newline4x+3y=1-4x + 3y = 1\newlineThis is the result of adding the two given equations.

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