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Solve using elimination.\newline5x+4y=−25x + 4y = -2\newline−5x−7y=−19-5x - 7y = -19\newline(_____, _____)

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Q. Solve using elimination.\newline5x+4y=−25x + 4y = -2\newline−5x−7y=−19-5x - 7y = -19\newline(_____, _____)
  1. Write Equations: Write down the system of equations to be solved using elimination.\newline5x+4y=−25x + 4y = -2\newline−5x−7y=−19-5x - 7y = -19
  2. Add Equations: Add the two equations together to eliminate the xx variable.\newline(5x+4y)+(–5x−7y)=–2+(–19)(5x + 4y) + (–5x − 7y) = –2 + (–19)
  3. Perform Addition: Perform the addition to eliminate the xx variable.5x−5x+4y−7y=−2−195x - 5x + 4y - 7y = -2 - 190x−3y=−210x - 3y = -21
  4. Simplify Equation: Simplify the resulting equation.\newline−3y=−21-3y = -21
  5. Solve for y: Solve for y by dividing both sides of the equation by −3-3.\newliney=−21−3y = \frac{-21}{-3}\newliney=7y = 7
  6. Substitute and Solve: Substitute the value of yy back into one of the original equations to solve for xx. We'll use the first equation: 5x+4y=−25x + 4y = -2.\newline5x+4(7)=−25x + 4(7) = -2
  7. Perform Multiplication: Perform the multiplication to simplify the equation. 5x+28=−25x + 28 = -2
  8. Subtract and Solve: Subtract 2828 from both sides of the equation to solve for xx. \newline5x=−2−285x = -2 - 28\newline5x=−305x = -30
  9. Divide to Find x: Divide both sides of the equation by 55 to find the value of x.\newlinex=−305x = \frac{-30}{5}\newlinex=−6x = -6

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