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Solve using elimination.\newline6x−5y=26x - 5y = 2\newline−6x+8y=4-6x + 8y = 4\newline(_____, _____)

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Q. Solve using elimination.\newline6x−5y=26x - 5y = 2\newline−6x+8y=4-6x + 8y = 4\newline(_____, _____)
  1. Combine equations: Add the two equations to eliminate the variable xx.6x−5y=26x - 5y = 2−6x+8y=4-6x + 8y = 4(6x−5y)+(−6x+8y)=2+4(6x - 5y) + (-6x + 8y) = 2 + 40x+3y=60x + 3y = 6
  2. Solve for y: Solve for y.\newline3y=63y = 6\newliney=63y = \frac{6}{3}\newliney=2y = 2
  3. Substitute to find xx: Substitute y=2y = 2 back into one of the original equations to find xx. Using the first equation: 6x−5(2)=26x - 5(2) = 2 6x−10=26x - 10 = 2 6x=2+106x = 2 + 10 6x=126x = 12 x=12/6x = 12 / 6 x=2x = 2

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