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Find the solution of the system of equations. {:[x-8y=16],[-x-10 y=2]:} (_________,________)"

Find the solution of the system of equations.\newlinex−8yamp;=16−x−10yamp;=2 \begin{aligned} x-8 y & =16 \\ -x-10 y & =2 \end{aligned} \newline(_________,________)

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Q. Find the solution of the system of equations.\newlinex−8y=16−x−10y=2 \begin{aligned} x-8 y & =16 \\ -x-10 y & =2 \end{aligned} \newline(_________,________)
  1. Add Equations: Add the two equations together to eliminate xx.(x−8y)+(−x−10y)=16+2(x - 8y) + (-x - 10y) = 16 + 2
  2. Simplify Equation: Simplify the equation. −x+x−8y−10y=16+2-x + x - 8y - 10y = 16 + 2
  3. Combine Like Terms: Combine like terms.\newline−18y=18-18y = 18
  4. Divide to Solve yy: Divide both sides by −18-18 to solve for yy.y=18−18y = \frac{18}{-18}
  5. Calculate y: Calculate the value of yy.y=−1y = -1
  6. Substitute yy for xx: Substitute y=−1y = -1 into the first equation to solve for xx.x−8(−1)=16x - 8(-1) = 16
  7. Multiply and Solve xx: Multiply 88 by −1-1.
    x+8=16x + 8 = 16
  8. Subtract to Solve xx: Subtract 88 from both sides to solve for xx.x=16−8x = 16 - 8
  9. Calculate xx: Calculate the value of xx.x=8x = 8

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