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Solve using elimination.\newline6x+6y=66x + 6y = 6\newline–3x−6y=18–3x − 6y = 18\newline(_____, _____)

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Q. Solve using elimination.\newline6x+6y=66x + 6y = 6\newline–3x−6y=18–3x − 6y = 18\newline(_____, _____)
  1. Write Equations: Write down the system of equations.\newline6x+6y=66x + 6y = 6\newline–3x−6y=18–3x − 6y = 18
  2. Add Equations: Add the two equations together to eliminate the yy variable.\newline(6x+6y)+(–3x−6y)=6+18(6x + 6y) + (–3x − 6y) = 6 + 18
  3. Perform Addition: Perform the addition. 6x−3x+6y−6y=246x - 3x + 6y - 6y = 24
  4. Simplify Equation: Simplify the equation. 3x=243x = 24
  5. Solve for x: Solve for x by dividing both sides of the equation by 33.\newline3x3=243\frac{3x}{3} = \frac{24}{3}
  6. Calculate xx: Calculate the value of xx.x=8x = 8
  7. Substitute for y: Substitute the value of xx back into one of the original equations to solve for yy. We can use the first equation.6(8)+6y=66(8) + 6y = 6
  8. Perform Multiplication: Perform the multiplication. 48+6y=648 + 6y = 6
  9. Subtract 4848: Subtract 4848 from both sides of the equation to solve for yy.\newline6y=6−486y = 6 - 48
  10. Calculate yy: Calculate the value of yy.6y=−426y = -42y=−426y = \frac{-42}{6}
  11. Final y: Calculate the final value of yy.y=−7y = -7

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