Math, asked by rudresh200703, 1 month ago

Solve : 43x – 21y = 129 ; 21x – 43y = 63

Answers

Answered by ZaraAntisera
2

Answer:

43x-21y=129,\:21x-43y=63\quad :\quad x=3,\:y=0

Step-by-step explanation:

\begin{bmatrix}43x-21y=129\\ 21x-43y=63\end{bmatrix}

\mathrm{Substitute\:}x=\frac{129+21y}{43}

\begin{bmatrix}21\cdot \frac{129+21y}{43}-43y=63\end{bmatrix}

\begin{bmatrix}\frac{2709-1408y}{43}=63\end{bmatrix}

\mathrm{For\:}x=\frac{129+21y}{43}

\mathrm{Substitute\:}y=0

x=\frac{129+21\cdot \:0}{43}

x=3

\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}

x=3,\:y=0

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