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Solve the system of equations.\newliney=−x+6y = -x + 6\newliney=−6x−4y = -6x - 4\newline(____, ____)

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Q. Solve the system of equations.\newliney=−x+6y = -x + 6\newliney=−6x−4y = -6x - 4\newline(____, ____)
  1. Set Equations Equal: Set the two equations equal to each other since they both equal yy.y=−x+6y = -x + 6y=−6x−4y = -6x - 4Set −x+6=−6x−4-x + 6 = -6x - 4
  2. Solve for x: Solve for x.\newline−x+6=−6x−4-x + 6 = -6x - 4\newlineAdd xx to both sides:\newline6=−5x−46 = -5x - 4\newlineAdd 44 to both sides:\newline10=−5x10 = -5x\newlineDivide by −5-5:\newlinex=−2x = -2
  3. Substitute xx to find yy: Substitute x=−2x = -2 back into the first equation to find yy.
    y=−(−2)+6y = -(-2) + 6
    y=2+6y = 2 + 6
    y=8y = 8

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