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Solve using elimination.\newlinex+y=6x + y = 6\newlinex−y=8x - y = 8\newline(_____, _____)

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Q. Solve using elimination.\newlinex+y=6x + y = 6\newlinex−y=8x - y = 8\newline(_____, _____)
  1. Write Equations: Write down the system of equations to be solved using elimination.\newlinex+y=6x + y = 6\newlinex−y=8x - y = 8
  2. Add Equations: Add the two equations together to eliminate yy.(x+y)+(x−y)=6+8(x + y) + (x − y) = 6 + 82x=142x = 14
  3. Solve for x: Divide both sides of the equation by 22 to solve for x.\newline2x÷2=14÷22x \div 2 = 14 \div 2\newlinex=7x = 7
  4. Substitute for yy: Substitute the value of xx back into one of the original equations to solve for yy. We'll use the first equation x+y=6x + y = 6.7+y=67 + y = 6y=6−7y = 6 − 7y=−1y = -1
  5. Write Solution: Write down the solution to the system of equations as an ordered pair.\newlineThe solution is (x,y)=(7,−1)(x, y) = (7, -1).

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