The table below shows four systems of equations:

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 10x − 21y = 10 10x + 3y = 15

Question

The table below shows four systems of equations:


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 10x − 21y = 10 10x + 3y = 15

meilendurcer · Answer

A. Which pair of systems will have the same solution?
 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.

B. 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.

C. 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.

D. 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.

meilendurcer · Answer

@ganeshie8 can you help?

perl · Answer

did you try to use matrixes on this

meilendurcer · Answer

nope i can't solve it at all

anonymous · Answer

B is the only answer I found correct.

Is the second equation of the third system equal to the first equation of system 2 plus 2 times the second equation of system 2

$$(4x - 5y = 2) + 2(3x - 8y = 4)$$

$$(4x - 5y = 2) + (6x - 16y = 8)$$

$$10x - 21y = 10$$ - This was also the second equation of the third system

meilendurcer · Answer

@Pawtpie i was thinking it might be that one. thanks.

anonymous · Answer

No problem

meilendurcer · Answer

if you aren't busy can you help with a few more??