Use substitution to solve this system of linear equations. \[ y=-4 x-1 \] \[ 2 y=-8 x-1 \] Select the correct choice below and, if necessary, enter an ordered pair \( (x, y) \) to complete your answer. \[ \text { One solution: } \] No solution Questinite number of solutions Help: Video Submit Question

Let's dive into some intriguing insights about systems of equations! Firstly, a neat historical tidbit: The method of substitution dates back to the ancient Egyptians around 2000 BC, who used it in their problem-solving. Fast forward to the 19th century, mathematicians like Augustin-Louis Cauchy refined these ideas into the systematic methods we use today. It’s astonishing how this technique has evolved over millennia! Now, on the practical side, substituting equations can often illuminate which variables you can easily express in terms of others! A common pitfall is overlooking situations where lines are parallel, leading to no solutions. Always double-check if your equations are multiples of each other, as that indicates they’ll never intersect! So, keep that in mind while you're solving!