Elimination Method

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Show your work for each problem.

1.
Which system is ready for elimination by adding (no multiplication needed)?
1. a) and
2. b) and
3. c) and
4. d) and
2.
Solve by adding: and . What is ?
3.
Solve: and . What is ?
4.
To eliminate from and , what should you multiply the second equation by?
1. a)
2. b)
3. c)
4. d)
5.
Solve: and
6.
Solve: and . What is the value of ?
7.
What happens when you add and ?
1. a) (unique solution)
2. b) (no solution)
3. c) (unique solution)
4. d) (infinitely many solutions)
8.
Solve: and
9.
Solve: and . What is ?
10.
Solve: and
11.
Solve: and . What is ?
12.
What happens when you try to solve and ?
1. a)Exactly one solution:
2. b)Infinitely many solutions (same line)
3. c)Exactly one solution:
4. d)No solution (parallel lines)
13.
A store sold 150 items. Shirts cost 25 euros each and pants cost 40 euros each. Total sales were 4,500 euros. How many shirts were sold?
14.
When should you use subtraction instead of addition in elimination?
1. a)When coefficients are opposites (+3 and -3)
2. b)When one coefficient is larger than the other
3. c)When coefficients are the same (both positive or both negative)
4. d)Never - always use addition
15.
Solve: and . What is ?
16.
Solve: and