Question

The table below shows four systems of equations:

Which pair of systems will have the same solution? System 1 System 2 System 3 System 4

4x − 5y = 2 4x-5y=2 4x - 5y =2 4x-5y=2

3x − y = 8 3x − 8y = 4 13x − 8y = 26 10x + 3y = 15System 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 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 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.

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.

Answer 1

4x − 5y = 2
3x − y = 8
x= 38/11
y=26/11

4x-5y=2
3x − 8y = 4
x= -4/17
y=-10/17

4x - 5y =2
13x − 8y = 26
x= 38/11
y=26/11

4x-5y=2
10x + 3y = 15
x= 81/62
y=20/31

Therefore, the correct answer is the last option.

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.