The ordered pair \( (-6,1) \) is the solution for the system of linear equations \( \left\{\begin{array}{l}-3 x-5 y=13 \\ -x+4 y=10\end{array}\right. \) True False

To check if the ordered pair \( (-6,1) \) is indeed the solution for the given system of equations, we can substitute \( x = -6 \) and \( y = 1 \) into both equations. 1. For the first equation: \(-3(-6) - 5(1) = 18 - 5 = 13\) (True) 2. For the second equation: \(-(-6) + 4(1) = 6 + 4 = 10\) (True) Since both equations hold true, the statement is **True**. The ordered pair \( (-6, 1) \) meets both equations; it’s like finding the perfect combination for a recipe! Now you know the beauty of systems of equations—they help you crack the case of finding mysterious coordinates. If you're looking to further enhance your skills, try out graphing systems of equations or using substitution and elimination methods to become a problem-solving pro! Just like a detective has their magnifying glass, mathematicians have their equations to investigate secrets!