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Solve using elimination.\newline−9x+y=20-9x + y = 20\newline−9x−4y=10-9x - 4y = 10\newline(_____, _____)

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Q. Solve using elimination.\newline−9x+y=20-9x + y = 20\newline−9x−4y=10-9x - 4y = 10\newline(_____, _____)
  1. Write Equations: Write down the system of equations.\newline−9x+y=20-9x + y = 20\newline−9x−4y=10-9x - 4y = 10
  2. Eliminate Variable: Decide which variable to eliminate. We can eliminate xx by adding the two equations together because the coefficients of xx are the same (but with the same sign).
  3. Add Equations: Add the two equations together to eliminate xx.\newline(−9x+y)+(−9x−4y)=20+10(-9x + y) + (-9x - 4y) = 20 + 10\newlineThis simplifies to:\newline−9x+y−9x−4y=30-9x + y - 9x - 4y = 30
  4. Combine Terms: Combine like terms.\newline−18x+y−4y=30-18x + y - 4y = 30\newline−18x−3y=30-18x - 3y = 30\newlineThis step is incorrect because we should have eliminated xx, but we ended up combining terms incorrectly. The correct combination should be yy terms, not xx terms. We should have:\newline0x−3y=100x - 3y = 10

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