How to Solve a Pair of Simultaneous Linear Equations

Let's imagine that we have the following system of simultaneous linear equations:

$$\begin{aligned} 2x + y &= 10 \\ 3x - y &= 5 \end{aligned}$$

To solve this system, the goal is to find the values of both $x$ and $y$ that satisfy both equations at the same time. We'll use the method of elimination to eliminate one variable and solve for the other.

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