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Solve the system of equations by elimination.\newlinex−2y−3z=−3x - 2y - 3z = -3\newlinex+2y+2z=−2x + 2y + 2z = -2\newline−x+y+z=2-x + y + z = 2

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Q. Solve the system of equations by elimination.\newlinex−2y−3z=−3x - 2y - 3z = -3\newlinex+2y+2z=−2x + 2y + 2z = -2\newline−x+y+z=2-x + y + z = 2
  1. Eliminate yy by adding equations: Add the first and second equations to eliminate yy.(x−2y−3z)+(x+2y+2z)=−3+(−2)(x - 2y - 3z) + (x + 2y + 2z) = -3 + (-2)2x−z=−52x - z = -5
  2. Eliminate xx by adding equations: Add the first and third equations to eliminate xx.(x−2y−3z)+(−x+y+z)=−3+2(x - 2y - 3z) + (-x + y + z) = -3 + 2−y−2z=−1-y - 2z = -1
  3. Eliminate yy by multiplying and adding equations: Multiply the second equation by 22 and add it to the third equation to eliminate yy.\newline2(x+2y+2z)+(−x+y+z)=2(−2)+22(x + 2y + 2z) + (-x + y + z) = 2(-2) + 2\newline2x+4y+4z−x+y+z=−4+22x + 4y + 4z - x + y + z = -4 + 2\newlinex+5y+5z=−2x + 5y + 5z = -2

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