Directions: In the FIRST column is a list of types of solutions to system of equations problems. In the MIDDLE column, describe inlyour own words what happens when you solve each type of system algebraically. In the LAST column, describe in your own words what happens when you sove each type of system graphically. Type of solution to systems of equations problem What happens when you solve graphically? What happens when you solve It by substitution ? a. One-solution case y = 5x –1 |y =15x – 1 Answer with supporting work: 4 of 5 b. No-solution case 6x – 3y = 6 2x - y =-5

Which ordered pair below is a solution to the following system of equations? x+y= 3 2x+ 5y = 12 O (5,2) O (1,2) O (1,4) O (2,1)

Your need to purchase more masks and hand sanitizer. You buy 3 masks and 7 bottles of hand sanitizer. You spend a total of $31. Your friend buys 4 masks and 5 bottles of hand sanitizer. They spend $30.50. How much does a mask cost and how much does a bottle of hand sanitizer cost?  What are the first and second variables and hat are the first and second equations?

6.) The graph of the system of equations is shown below. What is the solution to the system of equations? 3 2 6 5 4 3-2-1 1 2 3 4 -2 -3 -5- The solution is (-3, -1) because the solution to the system must represent the x- intercepts to both equations. The solution is (1, -3) because the solution to the system must represent the y- intercepts to both equations. The solution is (-2, -1) because the solution to the system must satisfy both equations simultaneously. The solution is (1, 2) because the solution to the system must satisfy one equation or the other.