At a bargain store, jen bought 4 items that each cost the same amount. carol bought 5 items that each cost the same amount, but each was $1.75 less than the items that jen bought. both jen and carol paid the same amount of money. what was the individual cost of each person's items? (a) write an equation. let x represent the cost of one of jen's items. (b) solve the equation. show your work. (c) check your solution. show your work. (d) state the solution in complete sentences.

Arrange the steps to solve this system of linear equations in the correct sequence. x + y = -2 2x – 3y = -9 tiles subtract 3x + 3y = -6 (obtained in step 1) from 2x – 3y = -9 (given) to solve for x. substitute the value of x in the first equation (x + y = -2) to get y = 1. the solution for the system of equations is (-3, 1). x = -15 the solution for the system of equations is (-15, 13). add 3x + 3y = -6 (obtained in step 1) to 2x – 3y = -9 (given), and solve for x. x = -3 substitute the value of x in the first equation (x + y = -2) to get y = 13. multiply the first equation by 3: 3(x + y) = 3(-2) 3x + 3y = -6.