6 Consider the following system of equations: \( \left\{\begin{array}{l}-5 x+2 y=-22 \\ 1 x-1 y=2\end{array}\right. \) True or False: The point \( (6,4) \) is a solution of the system. True False T

To determine if the point \( (6,4) \) is a solution to the system, we can substitute \( x = 6 \) and \( y = 4 \) into both equations. For the first equation: \(-5(6) + 2(4) = -30 + 8 = -22\), which is true. For the second equation: \(1(6) - 1(4) = 6 - 4 = 2\), which is also true. Since the point satisfies both equations, the answer is True! Now, if you ever want to check if a point is a solution, plug the coordinates into each equation. If both results match the equation's output, you're all set! Also, remember to be cautious about sign errors when substituting values. They can sneak in and lead you astray, transforming a sure "True" into a confusing "False!"