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Solve using elimination.\newline8x+3y=198x + 3y = 19\newline8x−5y=118x - 5y = 11\newline(_____, _____)

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Q. Solve using elimination.\newline8x+3y=198x + 3y = 19\newline8x−5y=118x - 5y = 11\newline(_____, _____)
  1. Write Equations: Write down the system of equations to be solved using elimination.\newline8x+3y=198x + 3y = 19\newline8x−5y=118x − 5y = 11
  2. Eliminate Variable x: Subtract the second equation from the first equation to eliminate the variable xx.(8x+3y)−(8x−5y)=19−11(8x + 3y) - (8x − 5y) = 19 - 11
  3. Find y Value: Perform the subtraction to find the value of y.\newline8x−8x+3y−(−5y)=19−118x - 8x + 3y - (-5y) = 19 - 11\newline0x+8y=80x + 8y = 8
  4. Solve for y: Simplify the equation to solve for y.\newline8y=88y = 8\newliney=88y = \frac{8}{8}\newliney=1y = 1
  5. Substitute yy: Substitute the value of yy back into one of the original equations to solve for xx. Using the first equation: 8x+3(1)=198x + 3(1) = 19 8x+3=198x + 3 = 19
  6. Isolate x Term: Subtract 33 from both sides of the equation to isolate the term with xx.\newline8x+3−3=19−38x + 3 - 3 = 19 - 3\newline8x=168x = 16
  7. Solve for x: Divide both sides of the equation by 88 to solve for x.\newline8x8=168\frac{8x}{8} = \frac{16}{8}\newlinex=2x = 2

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