Courtney believes that, given a system of two linear equations in two variables, replacing one equati produces a system with the same solution. Test Courtney's conjecture by completing the parts below
Part A:
Verify that the system of equations 3x – 7y = 26 and 5x + 2y = 16 has a solution of (4, -2) by substi
equations and simplifying.
Part B:
Multiply both sides of the equation 3x - 7y = 26 by 2, and then add the result to the equation 5x + 2y
that you just found to create a new system of equations. Show your work.
Part C:
Show whether or not (4, -2) is a solution to the new system of equations by substituting the x- and y-
simplifying. Is Courtney's conjecture correct based on this example?