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Algebra 14 Online
OpenStudy (anonymous):

please help im stuck. Two systems of equations are shown below: System A: 2x + y = 5, -4x + 6y = -2 System B: -10x + 19y = -1, -4x + 6y = -2. Which of the following statements is correct about the two systems of equations?

OpenStudy (anonymous):

@ranga

OpenStudy (anonymous):

@inkyvoyd

OpenStudy (anonymous):

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.

OpenStudy (anonymous):

those are the answer choices

OpenStudy (anonymous):

@kirbykirby

OpenStudy (anonymous):

@Awesome781

OpenStudy (anonymous):

@sidsiddhartha

OpenStudy (anonymous):

I will give a medal

OpenStudy (anonymous):

@Abbles

OpenStudy (anonymous):

@tgawade

OpenStudy (anonymous):

I will also fan

OpenStudy (abbles):

The answer is B: 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.

OpenStudy (abbles):

You can figure this out by doing what the answer says... multiply the second equation of System A by 3 and adding that to the first equation of System A and see what you get. You should come up with the first equation of System B.

OpenStudy (anonymous):

thank you sooo much @Abbles

OpenStudy (abbles):

np :)

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