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{[13.8 x+9.2 y=-4],[6x+4y=8]:}

1010. {13.8x+9.2y=−46x+4y=8 \left\{\begin{array}{l}13.8 x+9.2 y=-4 \\ 6 x+4 y=8\end{array}\right.

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Q. 1010. {13.8x+9.2y=−46x+4y=8 \left\{\begin{array}{l}13.8 x+9.2 y=-4 \\ 6 x+4 y=8\end{array}\right.
  1. Write Equations: Write down the system of equations to analyze.\newlineWe have the system:\newline{13.8x+9.2y=−46x+4y=8 \begin{cases} 13.8x + 9.2y = -4 \\ 6x + 4y = 8 \end{cases}
  2. Simplify Second Equation: Simplify the second equation to make the coefficients of y the same in both equations.\newlineWe can multiply the second equation by 22.33 to achieve this:\newline2.3×(6x+4y)=2.3×8 2.3 \times (6x + 4y) = 2.3 \times 8 \newline13.8x+9.2y=18.4 13.8x + 9.2y = 18.4
  3. Compare Equations: Compare the new form of the second equation with the first equation.\newlineWe now have:\newline{13.8x+9.2y=−413.8x+9.2y=18.4 \begin{cases} 13.8x + 9.2y = -4 \\ 13.8x + 9.2y = 18.4 \end{cases}
  4. Analyze Consistency: Analyze the resulting system for consistency. The two equations have the same left-hand side but different right-hand sides. This means that there is no solution to the system of equations since the same linear expression cannot equal two different numbers.

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