The table below shows four systems of equations:

system 1 4x − 5y = 2, 3x − y = 8

system 2 4x − 5y = 2, 3x − 2y = 1

system 3 4x − 5y = 2, 3x − 8y = 4/

system 44x − 5y = 2, 10x − 9y = 4

which pair of systems will have the same solution?

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

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

system 2 and system 4, because the second equation in system 4 is obtained by adding the first equation in system 2 to two times the second equation in system 2

system 2 and system 4, because the second equation in system 4 is obtained by adding the first equation in system 2 to three times the second equation in system 2