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What is the result of adding these two equations? {:[5x-9y=1],[-7x+2y=-5]:}

What is the result of adding these two equations?\newline5x−9y=1−7x+2y=−5 \begin{array}{c} 5 x-9 y=1 \\ -7 x+2 y=-5 \end{array}

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Full solution

Q. What is the result of adding these two equations?\newline5x−9y=1−7x+2y=−5 \begin{array}{c} 5 x-9 y=1 \\ -7 x+2 y=-5 \end{array}
  1. Write Equations: Write down the equations to be added.\newlineWe have the following two equations:\newline5x−9y=15x - 9y = 1\newline−7x+2y=−5-7x + 2y = -5
  2. Combine Like Terms: Add the equations together.\newlineTo add the equations, we combine like terms. This means we add the xx terms together, the yy terms together, and the constants together.\newline(5x−9y)+(−7x+2y)=1+(−5)(5x - 9y) + (-7x + 2y) = 1 + (-5)
  3. Perform Addition: Perform the addition.\newline5x+(−7x)=−2x5x + (-7x) = -2x\newline−9y+2y=−7y-9y + 2y = -7y\newline1+(−5)=−41 + (-5) = -4\newlineSo, the result of adding the equations is −2x−7y=−4-2x - 7y = -4.

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