Question

The table below shows four systems of equations:


System 1
System 2
System 3
System 4
4x − 5y = 2

3x − y = 8
4x − 5y = 2

3x − 8y = 4
4x − 5y = 2

10x − 21y = 10
4x − 5y = 2

10x + 3y = 15

Answer 1

System 1
4x − 5y = 2
3x − y = 8

System 2
4x − 5y = 2
3x − 8y = 4

System 3
4x − 5y = 2
10x − 21y = 10

System 4
4x − 5y = 2
10x + 3y = 15

Answer 2

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.

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.

Answer 3

can you solve each of them?

System 1
4x − 5y = 2
3x − y = 8 ----> y=3x-8 SUBSTITUTE.

System 2
4x − 5y = 2 ----->times (-3) ----> -12x +15y = -6
3x − 8y = 4 ----->times (4) ----> 12x -32y = 16

add them.


System 3
4x − 5y = 2 ----->times (-5) ----> -20x +25y = -10
10x − 21y = 10 ----->times (2) ----> 20x - 42y = 20

add them

System 4
4x − 5y = 2 ----->times (-5) ----> - 20x +25y = -10
10x + 3y = 15 ----->times (2) ----> 20x + 6y = 30

add them


Just guessing
(You are probably thinking that I solved it already)

Answer 4

I think it is the second one...am i right?

Answer 5

Which system of equations will have the same solution? same as what?

Answer 6

I see....

Answer 7

have you solved each?

Answer 8

no...what else do i do to them? just graph them right?

Answer 9

graphing them would be too long for you

Answer 10

I can solve each one, but I am not supposed to, can you please solve them and tell me what you get?

Answer 11

what was the answer ?