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Solve.\newliney=−2y = -2\newline4x−5y=−24x - 5y = -2\newline(_____, _____)

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Q. Solve.\newliney=−2y = -2\newline4x−5y=−24x - 5y = -2\newline(_____, _____)
  1. Substitute and Simplify: Substitute y=−2y = -2 into the equation 4x−5y=−24x - 5y = -2 and then simplify.\newlineSubstitute −2-2 for yy in 4x−5y=−24x - 5y = -2.\newline4x−5(−2)=−24x - 5(-2) = -2\newline4x+10=−24x + 10 = -2
  2. Isolate Variable Term: Isolate the variable term to solve for xx.4x+10=−24x + 10 = -24x+10−10=−2−104x + 10 - 10 = -2 - 104x=−124x = -12
  3. Divide to Find x: Divide both sides by 44 to find the value of xx.4x=−124x = -124x4=−124\frac{4x}{4} = \frac{-12}{4}x=−3x = -3
  4. Solution in Ordered Pair: We found:\newlinex=−3x = -3\newliney=−2y = -2\newlineWhat is the solution in the form of an ordered pair?\newlineSubstitute x=−3x = -3 and y=−2y = -2 into (x,y)(x, y).\newlineThe solution is (−3,−2)(-3, -2).

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