standard_description: Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.
problem_activity: Construct a system of two linear equations where
$${(-2,3)}$$
is a solution to the first equation but not the second equation and where
$${(5,-2)}$$
is a solution to the system.


aligns: no