Name ________________________________________
Date ______________
Period ________
Algebra 1 – Systems of Equations “Performance Task”
Steven wants to solve the system of equations below:
−3𝑥 − 2𝑦 = −7
−5𝑥 + 4𝑦 = 3
1. Describe why an answer that looks like “𝑥 = _______” is not a sufficient solution to the
problem above.
2. Steven is deciding between substitution and elimination method to solve the
problem. Which method would you recommend Steven use to solve the problem?
Explain to Steven why this method is better than the other.
2a. If you recommended substitution, then
which variable would you isolate?
Explain your choice.
2b. If you recommended elimination,
then which variable would you
eliminate? Explain your choice.
recommended
substitution
3a. Explain why Steven would need to use
fractions to solve this system using
substitution.
recommended
elimination
3b. Describe the operations Steven
would apply to the system of
equations before eliminating a
variable.
4. Solve the system of equations in the space below.