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.

2x + 5y = −3
−15x − 5y = −10

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.

   2x + 5y = −3
−15x − 5y = −10

anonymous · Answer

I would use elimination, just because I am more comfortable solving questions that way.

2x + 5y = -3 
-15x - 5y = - 10

2x*-15 + 5y*-15 = -3*-15
-15x*2 - 5y*2 = -10*2

-30x - 75y = 45
-30x - 10y = -20
Cancel -30x from both equations,

-65y = 85
y = -85/65
Dividing by 5, 
y = - 17/13