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Solve using elimination.\newline−8x+9y=9-8x + 9y = 9\newline10x−9y=910x - 9y = 9\newline(_____, _____)

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Q. Solve using elimination.\newline−8x+9y=9-8x + 9y = 9\newline10x−9y=910x - 9y = 9\newline(_____, _____)
  1. Write Equations: Write down the system of equations to be solved using elimination.\newline−8x+9y=9-8x + 9y = 9\newline10x−9y=910x − 9y = 9
  2. Add Equations: Add the two equations together to eliminate the yy variable.\newline(−8x+9y)+(10x−9y)=9+9(-8x + 9y) + (10x − 9y) = 9 + 9
  3. Simplify Equation: Perform the addition to eliminate yy and simplify the equation. −8x+10x=18\,-8x + 10x = 18 2x=18\,2x = 18
  4. Solve for x: Divide both sides of the equation by 22 to solve for x.\newline2x2=182\frac{2x}{2} = \frac{18}{2}\newlinex=9x = 9
  5. Substitute xx: Substitute x=9x = 9 into one of the original equations to solve for yy. We'll use the first equation: –8x+9y=9–8x + 9y = 9.\newline–8(9)+9y=9–8(9) + 9y = 9
  6. Simplify Equation: Perform the multiplication and simplify the equation. −72+9y=9-72 + 9y = 9
  7. Isolate y: Add 7272 to both sides of the equation to isolate the yy term.\newline9y=9+729y = 9 + 72\newline9y=819y = 81
  8. Solve for y: Divide both sides of the equation by 99 to solve for y.\newline9y9=819\frac{9y}{9} = \frac{81}{9}\newliney=9y = 9

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