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Solve using elimination.\newline9x+y=−139x + y = -13\newline−4x−y=3-4x - y = 3\newline(_____, _____)

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Q. Solve using elimination.\newline9x+y=−139x + y = -13\newline−4x−y=3-4x - y = 3\newline(_____, _____)
  1. Write Equations: Write down the system of equations.\newline9x+y=−139x + y = -13\newline−4x−y=3-4x - y = 3
  2. Add Equations: Add the two equations together to eliminate yy.(9x+y)+(–4x−y)=–13+3(9x + y) + (–4x − y) = –13 + 3
  3. Find xx: Perform the addition to find the value of xx.9x−4x=−109x - 4x = -105x=−105x = -10
  4. Solve for x: Divide both sides by 55 to solve for x.\newline5x5=−105\frac{5x}{5} = \frac{-10}{5}\newlinex=−2x = -2
  5. Substitute xx: Substitute x=−2x = -2 into one of the original equations to solve for yy. We'll use the first equation.9(−2)+y=−139(-2) + y = -13−18+y=−13-18 + y = -13
  6. Solve for y: Add 1818 to both sides to solve for y.\newliney=−13+18y = -13 + 18\newliney=5y = 5

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