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What is the result of adding these two equations? 6x+2y=-2 3x-2y=-5

What is the result of adding these two equations?\newline6x+2y=−23x−2y=−5 \begin{array}{l} 6 x+2 y=-2 \\ 3 x-2 y=-5 \end{array}

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Q. What is the result of adding these two equations?\newline6x+2y=−23x−2y=−5 \begin{array}{l} 6 x+2 y=-2 \\ 3 x-2 y=-5 \end{array}
  1. Write Equations: Write down the equations to be added.\newline6x+2y=−26x + 2y = -2\newline3x−2y=−53x - 2y = -5
  2. Add Equations: Add the equations together. The yy terms will cancel out because they have opposite coefficients.\newline(6x+2y)+(3x−2y)=−2+(−5)(6x + 2y) + (3x - 2y) = -2 + (-5)
  3. Perform Addition: Perform the addition. 6x+3x+2y−2y=−2−56x + 3x + 2y - 2y = -2 - 5
  4. Combine Like Terms: Combine like terms. 9x+0y=−79x + 0y = -7
  5. Simplify Equation: Simplify the equation by removing the zero term. 9x=−79x = -7

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