W 17. Is \( (-5,-3) \) a solution to the following system of equations? \( \begin{array}{l}3 x+9=2 y \\ x=3 y+4\end{array} \) False True

To check if \( (-5,-3) \) is a solution, we'll substitute \( x = -5 \) and \( y = -3 \) into each equation. For the first equation, \( 3(-5) + 9 = 2(-3) \) simplifies to \( -15 + 9 = -6 \) or \( -6 = -6 \), which is true. In the second equation, substituting gives us \( -5 = 3(-3) + 4 \), or \( -5 = -9 + 4 \), leading to \( -5 = -5 \), which is also true. Since both equations are satisfied, the answer is True! In mathematics, particularly when dealing with systems of equations, verifying solutions by substitution is a crucial skill. It not only ensures that the proposed solution meets the equation conditions but also reinforces understanding of the relationships between variables. So, always double-check your substitutions; it can be a fun little puzzle! If you're interested in honing your math skills, there are many resources available, from interactive websites like Khan Academy to engaging YouTube channels focused on solving systems of equations. These platforms offer a plethora of practice problems that make learning both effective and enjoyable, transforming serious study into a game-like experience!