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Solve using elimination.\newline4x+6y=124x + 6y = 12\newline–4x−2y=20–4x − 2y = 20\newline(_____, _____)

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Q. Solve using elimination.\newline4x+6y=124x + 6y = 12\newline–4x−2y=20–4x − 2y = 20\newline(_____, _____)
  1. Combine equations: Add the two equations to eliminate xx.4x+6y=124x + 6y = 12–4x−2y=20–4x − 2y = 20----------------(4x−4x)+(6y−2y)=12+20(4x - 4x) + (6y - 2y) = 12 + 200x+4y=320x + 4y = 32
  2. Solve for y: Solve for y.\newline4y=324y = 32\newliney=324y = \frac{32}{4}\newliney=8y = 8
  3. Substitute to find x: Substitute y=8y = 8 into the first equation to find xx.4x+6(8)=124x + 6(8) = 124x+48=124x + 48 = 124x=12−484x = 12 - 484x=−364x = -36x=−36/4x = -36 / 4x=−9x = -9

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