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Solve.\newliney=−2y = -2\newline4x−5y=64x - 5y = 6\newline(_____, _____)

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Q. Solve.\newliney=−2y = -2\newline4x−5y=64x - 5y = 6\newline(_____, _____)
  1. Substitute and Simplify: Substitute y=−2y = -2 into the equation 4x−5y=64x - 5y = 6 and then simplify.\newlineSubstitute −2-2 for yy in 4x−5y=64x - 5y = 6.\newline4x−5(−2)=64x - 5(-2) = 6\newline4x+10=64x + 10 = 6
  2. Isolate Variable Term: Isolate the variable term xx.4x+10=64x + 10 = 64x+10−10=6−104x + 10 - 10 = 6 - 104x=−44x = -4
  3. Solve for x: Solve for x.\newline4x=−44x = -4\newline4x4=−44\frac{4x}{4} = \frac{-4}{4}\newlinex=−1x = -1
  4. Find Ordered Pair Solution: We found:\newlinex=−1x = -1\newliney=−2y = -2\newlineWhat is the solution in the form of an ordered pair?\newlineSubstitute x=−1x = -1 and y=−2y = -2 into (x,y)(x, y).\newlineThe solution is (−1,−2)(-1, -2).

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