Find $a+b+c$, given that $x+y\neq -1$ and  \begin{align*}
ax+by+c&=x+7,\\
a+bx+cy&=2x+6y,\\
ay+b+cx&=4x+y.
\end{align*}
Question:
Find $a+b+c$, given that $x+y\neq -1$ and  \begin{align*}
ax+by+c&=x+7,\\
a+bx+cy&=2x+6y,\\
ay+b+cx&=4x+y.
\end{align*}
Answer:
Let's think step by step.

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7
Find $a+b+c$, given that $x+y\neq -1$ and  \begin{align*}
ax+by+c&=x+7,\\
a+bx+cy&=2x+6y,\\
ay+b+cx&=4x+y.
\end{align*}
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