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What is the result of adding these two equations?

2x+3y=-5

5x-y=-12

What is the result of adding these two equations?\newline2x+3y=5 2 x+3 y=-5 \newline5xy=12 5 x-y=-12

Full solution

Q. What is the result of adding these two equations?\newline2x+3y=5 2 x+3 y=-5 \newline5xy=12 5 x-y=-12
  1. Write Equations: Write down the equations to be added.\newlineWe have the equations:\newline2x+3y=52x + 3y = -5\newline5xy=125x - y = -12\newlineWe will add these equations together to find the sum.
  2. Add Equations: Add the equations together.\newline(2x+3y)+(5xy)=5+(12)(2x + 3y) + (5x - y) = -5 + (-12)\newlineCombine like terms:\newline2x+5x+3yy=5122x + 5x + 3y - y = -5 - 12\newline7x+2y=177x + 2y = -17\newlineThis is the result of adding the two equations.

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