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Solve using elimination.\newline9x+8y=29x + 8y = 2\newline–9x−2y=–14–9x − 2y = –14\newline(_____, _____)

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Q. Solve using elimination.\newline9x+8y=29x + 8y = 2\newline–9x−2y=–14–9x − 2y = –14\newline(_____, _____)
  1. Write Equations: Write down the system of equations to be solved using elimination.\newline9x+8y=29x + 8y = 2\newline–9x−2y=–14–9x − 2y = –14
  2. Add Equations: Add the two equations together to eliminate the xx variable.\newline(9x+8y)+(–9x−2y)=2+(–14)(9x + 8y) + (–9x − 2y) = 2 + (–14)
  3. Eliminate x: Perform the addition to eliminate the x variable.\newline9x−9x+8y−2y=2−149x - 9x + 8y - 2y = 2 - 14\newline0x+6y=−120x + 6y = -12
  4. Simplify Equation: Simplify the resulting equation. 6y=−126y = -12
  5. Solve for y: Solve for y by dividing both sides of the equation by 66.y=−12/6y = -12 / 6y=−2y = -2
  6. Substitute for x: Substitute the value of yy back into one of the original equations to solve for xx. We can use the first equation.9x+8(−2)=29x + 8(-2) = 2
  7. Simplify Equation: Perform the multiplication and simplify the equation. 9x−16=29x - 16 = 2
  8. Isolate x: Add 1616 to both sides of the equation to isolate the xx term.\newline9x=2+169x = 2 + 16
  9. Find xx: Perform the addition to find the value of xx.9x=189x = 18
  10. Final Solution: Divide both sides of the equation by 99 to solve for xx. \newlinex=189x = \frac{18}{9}\newlinex=2x = 2

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