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Solve using elimination.\newline9x+8y=39x + 8y = 3\newline6x+8y=−66x + 8y = -6\newline(_____, _____)

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Q. Solve using elimination.\newline9x+8y=39x + 8y = 3\newline6x+8y=−66x + 8y = -6\newline(_____, _____)
  1. Write Equations: Write down the system of equations to be solved using elimination.\newline9x+8y=39x + 8y = 3\newline6x+8y=−66x + 8y = -6
  2. Eliminate Variable: To use elimination, we need to eliminate one of the variables. We can subtract the second equation from the first equation to eliminate the yy variable.(9x+8y)−(6x+8y)=3−(–6)(9x + 8y) - (6x + 8y) = 3 - (–6)
  3. Perform Subtraction: Perform the subtraction to eliminate the yy variable.9x−6x+8y−8y=3+69x - 6x + 8y - 8y = 3 + 6
  4. Simplify Equation: Simplify the resulting equation. 3x=93x = 9
  5. Solve for x: Solve for x by dividing both sides of the equation by 33.\newline3x3=93\frac{3x}{3} = \frac{9}{3}
  6. Substitute xx: Calculate the value of xx.x=3x = 3
  7. Calculate yy: Now that we have the value of xx, we can substitute it into one of the original equations to find the value of yy. We'll use the first equation for this purpose.\newline9(3)+8y=39(3) + 8y = 3
  8. Isolate y Term: Perform the multiplication to solve for y.\newline27+8y=327 + 8y = 3
  9. Calculate yy Value: Subtract 2727 from both sides of the equation to isolate the term with yy.8y=3−278y = 3 - 27
  10. Divide to Solve yy: Calculate the value of yy.8y=−248y = -24
  11. Divide to Solve yy: Calculate the value of yy.8y=−248y = -24Divide both sides of the equation by 88 to solve for yy.y=−248y = \frac{-24}{8}
  12. Divide to Solve yy: Calculate the value of yy.
    8y=−248y = -24Divide both sides of the equation by 88 to solve for yy.
    y=−248y = -\frac{24}{8}Calculate the value of yy.
    y=−3y = -3

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