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Solve.\newlinex−5y=−11x - 5y = -11\newline−8x+4y=16-8x + 4y = 16\newline(_____, _____)

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Q. Solve.\newlinex−5y=−11x - 5y = -11\newline−8x+4y=16-8x + 4y = 16\newline(_____, _____)
  1. Write Equations: Step 11: Write down the system of equations.\newlinex−5y=−11x - 5y = -11\newline−8x+4y=16-8x + 4y = 16
  2. Eliminate Variable: Step 22: Multiply the first equation by 88 to eliminate xx when added to the second equation.\newline8(x−5y)=8(–11)8(x − 5y) = 8(–11)\newline8x−40y=–888x − 40y = –88
  3. Combine Equations: Step 33: Add the new equation to the second equation.\newline8x−40y+(−8x+4y)=−88+168x − 40y + (−8x + 4y) = −88 + 16\newline−36y=−72−36y = −72
  4. Solve for y: Step 44: Solve for y.\newliney = −72/−36-72 / -36\newliney = 22
  5. Substitute and Solve for x: Step 55: Substitute y=2y = 2 back into the first equation to find xx.x−5(2)=–11x − 5(2) = –11x−10=–11x − 10 = –11x=–11+10x = –11 + 10x=–1x = –1

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