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rom the following equal ordered pa (x+2y,3)=(-1,2x-y)

rom the following equal ordered pa\newline(x+2y,3)=(−1,2x−y) (x+2 y, 3)=(-1,2 x-y)

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Q. rom the following equal ordered pa\newline(x+2y,3)=(−1,2x−y) (x+2 y, 3)=(-1,2 x-y)
  1. Compare Elements for First Equation: Compare the first elements of the ordered pairs to set up the first equation.\newlinex+2y=−1x + 2y = -1
  2. Compare Elements for Second Equation: Compare the second elements of the ordered pairs to set up the second equation.\newline3=2x−y3 = 2x - y
  3. Solve for y: Solve the second equation for y.\newliney=2x−3y = 2x - 3
  4. Substitute yy into First Equation: Substitute y=2x−3y = 2x - 3 into the first equation.\newlinex+2(2x−3)=−1x + 2(2x - 3) = -1\newlinex+4x−6=−1x + 4x - 6 = -1\newline5x−6=−15x - 6 = -1
  5. Solve for x: Solve for x. \newline5x=55x = 5\newlinex=1x = 1
  6. Substitute xx into yy to find yy: Substitute x=1x = 1 back into y=2x−3y = 2x - 3 to find yy.\newliney=2(1)−3y = 2(1) - 3\newliney=2−3y = 2 - 3\newliney=−1y = -1

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