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Solve.\newline5x+2y=−195x + 2y = -19\newline−x+y=1-x + y = 1\newline(_____, _____)

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Q. Solve.\newline5x+2y=−195x + 2y = -19\newline−x+y=1-x + y = 1\newline(_____, _____)
  1. Solve for y: Solve the second equation for y.\newlineEquation: −x+y=1-x + y = 1\newlineAdd xx to both sides: y=x+1y = x + 1
  2. Substitute into first equation: Substitute y=x+1y = x + 1 into the first equation.\newlineOriginal: 5x+2y=−195x + 2y = -19\newlineSubstitute: 5x+2(x+1)=−195x + 2(x + 1) = -19\newlineSimplify: 5x+2x+2=−195x + 2x + 2 = -19\newlineCombine like terms: 7x+2=−197x + 2 = -19
  3. Solve for x: Solve for x.\newlineSubtract 22 from both sides: 7x=−217x = -21\newlineDivide by 77: x=−3x = -3
  4. Substitute xx back into yy: Substitute x=−3x = -3 back into y=x+1y = x + 1 to find yy.\newlineSubstitute: y=−3+1y = -3 + 1\newlineCalculate: y=−2y = -2

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