MAT 1470 Name__________________________________ Exam 4 Review Fall 2019 Sections: 8.1, 8.2, 8.4, 9.1 You must show your work. Partial credit may be given for work shown. Q1 Use either the substitution or elimination method to solve the systems of equations.

! + 2! = −24! + 3! = 7

! − 2! = 12! + 3! = 16

Q2 Repeat Q1 using matrices.

Write the augmented matrices for the systems of linear equations. Find the solution set of the linear system using Gaussian elimination. Identify inconsistent systems and dependent equations. You must show your work to receive credit.

Q3 Find the solution set of the linear system. Identify inconsistent systems and dependent equations. You must show your work to receive credit.

9! + 2! − ! = 63! + 4! + 7! = −8

! + 5! = 11

Q4 Write the augmented matrices for the systems of linear equations. Find the solution set of the linear system using Gaussian elimination. Identify inconsistent systems and dependent equations. You must show your work to receive credit.

4! + 3! + ! = 82! + ! + 4! = −4

3! + ! = 1

Q5 Find the solution set of the linear system. Identify inconsistent systems and dependent equations. You must show your work to receive credit.

!! − ! = 54! − ! = 0

Q6 Lily made 10 shots in a basketball game. Some of the shots were worth 2 points and

some of the shots were worth 3 points. Lily scored a total of 26 points. Find how many two point shots and three point shots that Lily made in the game. Remember to label the variables, state the equations, solve the system of equations using the substitution or elimination method, and write your answer as a complete sentence. No credit will be given for answers determined by trial and error.