Part 1: Decide whether you would use the graphing, substitution, or elimination method to solve the following system of equations. Explain, in complete sentences, why you chose that method.
Part 2: Solve the following system of equations and show all of your work.

4x + 3y = -1
3x + y = 3

Question

Part 1: Decide whether you would use the graphing, substitution, or elimination method to solve the following system of equations. Explain, in complete sentences, why you chose that method.
Part 2: Solve the following system of equations and show all of your work.

4x + 3y = -1
3x + y = 3

anonymous · Answer

Elimination. Because, multiplying second equation by -3 allows you to eliminate y and find x.

Solution:
4x + 3y = -1
3x + y = 3

4x + 3y = -1
-9x - 3y = -9

Adding:
-5x = -10
=> x = -10/-5 = 2

Substituting for x = 2 in equation #2, you get
3*2 + y = 3
=> y = 3-6
=> y = -3