Question

Help? Will give medal.
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 4:
4x − 5y = 2

10x − 9y = 4

Which pair of systems will have the same solution?

Choices below vv

Answer 1

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