Question

The table below shows four systems of equations:


System 1 System 2 System 3 System 4
4x − 5y = 2
3x − y = 4 4x − 5y = 2
10x − 21y = 10 4x − 5y = 2
24x − 47y = 22 4x − 5y = 2
10x + 3y = 15


Which pair of systems will have the same solution?

Answer 1

System 1 and system 2, because the second equation in system 2 is obtained by adding the first equation in system 1 to two times the second equation in system 1
System 2 and system 3, because the second equation in system 3 is obtained by adding the first equation in system 2 to two times the second equation in system 2
System 1 and system 2, because the second equation in system 2 is obtained by adding the first equation in system 1 to three times the second equation in system 1
System 2 and system 3, because the second equation in system 3 is obtained by adding the first equation in system 2 to three times the second equation in system 2