Algebra 2 Companion Book, Volume 1

3.1.2 Using Algebraic Methods to Solve Linear Systems - Practice

1.  Solve the system of equations using substitution. − 3 x + y = − 1 y = 5 x + 1

2.  Solve the system of equations using substitution. x − 2 y = − 3 5 x + 3 y = − 2

3.  Solve the system of equations using elimination. 6 x − 2 y = 10 5 x − 8 = 2 y

4.  Solve the system of equations using elimination. 6 x + y = 9 4 x + 3 y = − 1

5.  Classify the system of equations and identify the number of solutions. 2 x + y = 5 6 x + 3 y = 25

6.  At a grocery store, Rick bought 3 bottles of water and 5 heart-healthy frozen meals for $24. Danny bought 4 bottles of water and 4 heart-healthy frozen meals for $22. Find the cost of a bottle of water and the cost of a heart-healthy frozen meal.

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