Question

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 1

B1= A1+3A2

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 ....