1. **Problem statement:** Solve the simultaneous equations. Since the user did not provide specific equations, let's consider a general example: $$\begin{cases} ax + by = c \\ dx + ey = f \end{cases}$$ 2. **Formula and rules:** To solve simultaneous linear equations, we can use substitution, elimination, or matrix methods. Here, we'll use the elimination method. 3. **Step-by-step solution:** - Multiply the first equation by $e$ and the second by $b$ to align coefficients of $y$: $$e(ax + by) = ec \Rightarrow aex + bey = ec$$ $$b(dx + ey) = bf \Rightarrow bdx + bey = bf$$ - Subtract the second from the first to eliminate $y$: $$aex + bey - (bdx + bey) = ec - bf$$ $$aex - bdx = ec - bf$$ - Factor $x$: $$x(ae - bd) = ec - bf$$ - Solve for $x$: $$x = \frac{ec - bf}{ae - bd}$$ - Substitute $x$ back into one of the original equations to find $y$: $$ax + by = c \Rightarrow by = c - ax \Rightarrow y = \frac{c - ax}{b}$$ 4. **Explanation:** We used elimination to remove one variable, solved for the other, then substituted back to find the remaining variable. Since no specific equations were given, this is the general method to solve simultaneous linear equations.