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Solve.\newline−x−y=1-x - y = 1\newlinex+2y=4x + 2y = 4\newline(_____, _____)

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Q. Solve.\newline−x−y=1-x - y = 1\newlinex+2y=4x + 2y = 4\newline(_____, _____)
  1. Solve for x: Solve the first equation for x.\newlineGiven: −x−y=1-x - y = 1\newlineAdd y to both sides: −x=y+1-x = y + 1\newlineMultiply both sides by −1-1: x=−y−1x = -y - 1
  2. Substitute xx: Substitute xx in the second equation.\newlineGiven: x+2y=4x + 2y = 4\newlineSubstitute x=−y−1x = -y - 1: (−y−1)+2y=4(-y - 1) + 2y = 4\newlineCombine like terms: y−1=4y - 1 = 4
  3. Solve for y: Solve for y.\newlineAdd 11 to both sides: y=5y = 5
  4. Substitute yy into xx: Substitute yy back into the equation for xx.
    x=−y−1x = -y - 1
    Substitute y=5y = 5: x=−5−1x = -5 - 1
    x=−6x = -6

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