Algebra II Notes 3­2: Solving Systems Using Algebra
Warm Up
1. Solve the equation f(x) = 5x + 2 for the following:
a) x = 10
b) x = 2
2. What is the process called that you used in #1 to solve the problem?
Directions: For problems 1 – 4, solve the system using the substitution method.
1. y = x – 2 and 2x + y = 10
2. 4x = 8y and 2x + 5y = 27
1
3. 6x – 3y = –33 and 2x + y = ­1
4. x + y = 7 and x + 3y = 11
5. Suppose you bought eight oranges and one grapefruit for a total of $4.60. Later that day, you bought six oranges and three grapefruits for a total of $4.80. What is the price of each type of fruit? 2