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Solve the system of equations by substitution.\newlinez=7z = 7\newlinex+2y−z=8x + 2y - z = 8\newline3x+3y−3z=−33x + 3y - 3z = -3

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Q. Solve the system of equations by substitution.\newlinez=7z = 7\newlinex+2y−z=8x + 2y - z = 8\newline3x+3y−3z=−33x + 3y - 3z = -3
  1. Substitute z=7z = 7: Substitute z=7z = 7 into the second equation x+2y−z=8x + 2y - z = 8.\newlinex+2y−7=8x + 2y - 7 = 8
  2. Solve for x: Solve for x.\newlinex+2y=15x + 2y = 15\newlinex=15−2yx = 15 - 2y
  3. Substitute z=7z = 7: Substitute z=7z = 7 into the third equation 3x+3y−3z=−33x + 3y - 3z = -3.\newline3x+3y−3×7=−33x + 3y - 3\times7 = -3\newline3x+3y−21=−33x + 3y - 21 = -3
  4. Solve for x: Solve for x.\newline3x+3y=183x + 3y = 18\newlinex+y=6x + y = 6\newlinex=6−yx = 6 - y
  5. Set expressions equal: Set the expressions for xx equal to each other from Step 22 and Step 44.\newline15−2y=6−y15 - 2y = 6 - y
  6. Solve for y: Solve for y.\newline15−6=y15 - 6 = y\newliney=9y = 9

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