CHAPTER 8 / ESSENTIAL ALGEBRA I SKILLS 305
Concept Review 2: Systems
- What is a system?
- What are two algebraic methods for solving systems?
- How do you check the solution of a system?
Solve the following systems by substitution, and check your solution.
- 3x− 4 y= 25 .x^2 − 2 y= 10 6.
x=y− 2 y= 3 x− 9
Solve the following systems by combination, and check your solution.
- a−b= 58 .− 3 x− 5 y= 20 9.
a+b= 12 − 3 x− 4 y= 14
Give three different solutions to each of the following “letter-heavy” systems.
- 2x+ 5 y= 40 11.− 2 a+ 5 b+c= 10
a+b= 7
x= y= a= b= c=
x= y= a= b= c=
x= y= a= b= c=___
xy
xy
33
9
43
2
−=−
+=
553
2
5
mn
mn