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Solve.\newline−8x+y=14-8x + y = 14\newline4x−2y=−44x - 2y = -4\newline(_____, _____)

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Q. Solve.\newline−8x+y=14-8x + y = 14\newline4x−2y=−44x - 2y = -4\newline(_____, _____)
  1. Write Equations: Step 11: Write down the system of equations.\newline−8x+y=14-8x + y = 14\newline4x−2y=−44x - 2y = -4
  2. Multiply for Alignment: Step 22: Multiply the first equation by 22 to align the coefficients of yy for elimination.\newline−16x+2y=28-16x + 2y = 28\newline4x−2y=−44x - 2y = -4
  3. Add Equations: Step 33: Add the two equations together to eliminate yy.−16x+2y+4x−2y=28−4-16x + 2y + 4x - 2y = 28 - 4−12x=24-12x = 24
  4. Solve for x: Step 44: Solve for x.\newlinex=24−12x = \frac{24}{-12}\newlinex=−2x = -2
  5. Substitute for y: Step 55: Substitute x=−2x = -2 back into the first equation to solve for y.\newline−8(−2)+y=14-8(-2) + y = 14\newline16+y=1416 + y = 14\newliney=14−16y = 14 - 16\newliney=−2y = -2

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