Question

@ganeshie8

Answer 1

Two systems of equations are shown below:

System A System B

2x + y = 5 -10x + 19y = -1
-4x + 6y = -2 -4x + 6y = -2


Which of the following statements is correct about the two systems of equations?

Answer 2

They will have the same solutions because the first equation of System B is obtained by adding the first equation of System A to 2 times the second equation of System A.

They will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 3 times the second equation of System A.

The value of x for System B will be –5 times the value of x for System A because the coefficient of x in the first equation of System B is –5 times the coefficient of x in the first equation of System A.

The value of x for System A will be equal to the value of y for System B because the first equation of System B is obtained by adding –12 to the first equation of System A and the second equations are identical.

Answer 3

I need an explanation.. I dont understand anything

Answer 4

I think it might be D though

Answer 5

As a start, notice that both systems have one equation in common

Answer 6

Yeah, i know, thats why I think it might be D but I'm not sure..

Answer 7

So most likeley the answer has to be either A or B,
lets see what happens when you add two equations together

Answer 8

Consider System A :

```
2x + y = 5
-4x + 6y = -2
```

Answer 9

if you multiply same number both sides to the first equation,
the solution of the system will not change. Agree ?

Answer 10

yes

Answer 11

because

a = b

means

2a = 2b

Answer 12

lets multiply second equation by 3 both sides

Answer 13

```
2x + y = 5
3(-4x + 6y = -2)
```

Answer 14

```
2x + y = 5
-12x + 18y = -6
```

Answer 15

adding both equations gives you :

```
2x + y = 5
-12x + 18y = -6
---------------------
-10x + 19y = -1
```

which is exactly same as the other equation in System B, eh ?

Answer 16

Oh, i think i understand it better now

Answer 17

Thanks for the help. :)