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Solve using elimination.\newline−x−3y=−10-x - 3y = -10\newlinex−3y=4x - 3y = 4\newline(_,_)(\_, \_)

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Q. Solve using elimination.\newline−x−3y=−10-x - 3y = -10\newlinex−3y=4x - 3y = 4\newline(_,_)(\_, \_)
  1. Combine equations: Add the two equations to eliminate xx.
    −x−3y=−10-x - 3y = -10
    x−3y=4x - 3y = 4
    (−x+x)+(−3y−3y)=−10+4(-x + x) + (-3y - 3y) = -10 + 4
    0x−6y=−60x - 6y = -6
  2. Solve for y: Solve for y.\newline−6y=−6-6y = -6\newliney=−6−6y = \frac{-6}{-6}\newliney=1y = 1
  3. Substitute to find xx: Substitute y=1y = 1 into the second equation to find xx.
    x−3(1)=4x - 3(1) = 4
    x−3=4x - 3 = 4
    x=4+3x = 4 + 3
    x=7x = 7

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