Here are some examples of systems of equations. Based on the equations that are given, which method (substitution, elimination, graphing) would you choose to solve the system and why?

1)
6x + 7y = –31
5x – 8y = 71

2)
y = (5/3)x – 8
y = -2x + 14

3)
3x + y = 10
x + 8y = –12

Question

Here are some examples of systems of equations.  Based on the equations that are given, which method (substitution, elimination, graphing) would you choose to solve the system and why? 
 
1)
6x + 7y = –31
5x – 8y = 71
 
2)
y = (5/3)x – 8
y = -2x + 14
 
3)
3x + y = 10
x + 8y = –12

anonymous · Answer

1) elimination, it takes so much work to find y in terms of x and vice versa

2) substitution, we have (5/3)x-8=-2x+14

3) elimination, just multiply the second equation by -3

anonymous · Answer

1.) by elimination
2.) either by substitution or graphing
3.)elimination