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Solve using elimination.\newline10x−8y=−1010x - 8y = -10\newline9x−8y=−179x - 8y = -17\newline(_____, _____)

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Q. Solve using elimination.\newline10x−8y=−1010x - 8y = -10\newline9x−8y=−179x - 8y = -17\newline(_____, _____)
  1. Set up equations: First, we need to set up the equations to eliminate one of the variables. We can do this by subtracting the second equation from the first equation since the coefficients of yy are the same but with opposite signs.10x−8y=−1010x − 8y = −10 −(9x−8y=−17)-(9x − 8y = −17)
  2. Subtract to eliminate variable: Perform the subtraction of the two equations to eliminate the yy variable.\newline(10x−8y)−(9x−8y)=(−10)−(−17)(10x − 8y) - (9x − 8y) = (−10) - (−17)
  3. Simplify resulting equation: Simplify the resulting equation. 10x−9x=−10+1710x - 9x = -10 + 17
  4. Calculate x value: Calculate the value of x.\newlinex=7x = 7
  5. Substitute xx to solve yy: Now that we have the value of xx, we can substitute it back into one of the original equations to solve for yy. Let's use the first equation:\newline10x−8y=−1010x − 8y = −10\newline10(7)−8y=−1010(7) − 8y = −10
  6. Perform multiplication: Perform the multiplication to simplify the equation. 70−8y=−1070 - 8y = -10
  7. Isolate term with y: Subtract 7070 from both sides to isolate the term with y.\newline−8y=−10−70-8y = -10 - 70
  8. Divide to solve for y: Simplify the right side of the equation. \newline−8y=−80-8y = -80
  9. Calculate y value: Divide both sides by −8-8 to solve for y.\newliney=−80−8y = \frac{-80}{-8}
  10. Calculate y value: Divide both sides by −8-8 to solve for y.\newliney = –80/−8–80 / -8Calculate the value of y.\newliney = 1010

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