Given the system of linear equations. -x + y = 17 6x + y = 14 part a: use substitution to find the solution to the systems of equations. include all of your work in your final answer. part b: algebraically verify your answer to part a. include all of your work in your final answer.

Tom is the deli manager at a grocery store. he needs to schedule employee to staff the deli department for no more that 260 person-hours per week. tom has one part-time employee who works 20 person-hours per week. each full-time employee works 40 person-hours per week. write and inequality to determine n, the number of full-time employees tom may schedule, so that his employees work on more than 260 person-hours per week. graph the solution set to this inequality.