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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?

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absor201

Answer:

B1= A1+3A2

Step-by-step explanation:

System A

2x + y = 5 -------------A1

−4x + 6y = −2 ----------A2

System B

−10x + 19y = −1  -----------B1

−4x + 6y = −2 ------------B2

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.

You can write it as:

B1= A1+3A2

We can prove it as:

2x + y = 5

3(−4x + 6y = −2)

 2x+y =    5

-12x+18y= -6

__________

-10x+19y= -1   equals to B1

Hence it is proved that B1=A1+3A2 ....

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