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Solve using elimination.\newline3x+6y=−123x + 6y = -12\newline−3x−2y=20-3x - 2y = 20\newline(_____, _____)

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Q. Solve using elimination.\newline3x+6y=−123x + 6y = -12\newline−3x−2y=20-3x - 2y = 20\newline(_____, _____)
  1. Write Equations: Write down the system of equations to be solved using elimination.\newline3x+6y=−123x + 6y = -12\newline−3x−2y=20-3x - 2y = 20
  2. Add Equations: Add the two equations together to eliminate the xx variable.\newline(3x+6y)+(–3x−2y)=–12+20(3x + 6y) + (–3x − 2y) = –12 + 20
  3. Eliminate x: Perform the addition to eliminate the x variable.\newline3x−3x+6y−2y=83x - 3x + 6y - 2y = 8\newline0x+4y=80x + 4y = 8
  4. Solve for y: Simplify the resulting equation to solve for y.\newline4y=84y = 8\newliney=84y = \frac{8}{4}\newliney=2y = 2
  5. 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.\newline3x+6(2)=−123x + 6(2) = -12\newline3x+12=−123x + 12 = -12
  6. Isolate x: Subtract 1212 from both sides of the equation to isolate the term with xx.\newline3x+12−12=−12−123x + 12 - 12 = -12 - 12\newline3x=−243x = -24
  7. Solve for x: Divide both sides of the equation by 33 to solve for x.\newline3x3=−243\frac{3x}{3} = \frac{-24}{3}\newlinex=−8x = -8

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