x + b*y = c; x + d*y = k
You asked:
Solve the system of equations:\[\begin{aligned}x + b y &= c\\x + d y &= k\end{aligned}\]
MathBot Answer:
The system of equations has infinitely many solutions.
$$\begin{aligned}b &= \frac{c - x}{y}\\d &= \frac{k - x}{y}\end{aligned}$$\(c\) is a free variable.
\(k\) is a free variable.
\(x\) is a free variable.
\(y\) is a free variable.