Part 1: Using complete sentences, explain which method you would use to solve the following system of equations and why you chose that method. (3 points)
3x + 2y = 7
4x – 3y = –2

Part 2: Show your work and provide the solution to the system. (4 points)

Question

Part 1: Using complete sentences, explain which method you would use to solve the following system of equations and why you chose that method. (3 points) 
3x + 2y = 7 
4x – 3y = –2 

Part 2: Show your work and provide the solution to the system. (4 points)

radar · Answer

I would choose the elimination method because the two original equations do not have x or y with a 1 coefficient.

Part 2.  Multiply the first equation by 4 as I intend to eliminate the x.
12x + 8y = 28.  Now multiply the second equation by 3 getting:
12x - 9y=-6    Now subtract  the two adjusted equations
------------
0x   17y=34     divide by 17 getting
y=2  substitute for y in first original equation
3x + 2(2) = 7
3x + 4 =7
3x=7-4 = 3
x=1

anonymous · Answer

how did you get 17?

radar · Answer

8y - (-9y) = 17y    (subtracting a negative)