Ask your own question, for FREE!
Mathematics 11 Online
OpenStudy (anonymous):

This is hopefully the last one i'll need help with

OpenStudy (anonymous):

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?

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):

i think this problem is scaring people away...

ganeshie8 (ganeshie8):

``` System A System B 2x + y = 5 -10x + 19y = -1 -4x + 6y = -2 -4x + 6y = -2 ``` multipy the second equation of system A by 3, what do you get ?

OpenStudy (anonymous):

i dont understand what you're asking

ganeshie8 (ganeshie8):

look at system A, how many equations are there ?

OpenStudy (anonymous):

2?

ganeshie8 (ganeshie8):

whats the second equation ?

OpenStudy (anonymous):

A & B : -4x + 6y = -2

ganeshie8 (ganeshie8):

multiply both sides of that equation by 3, what do u get ?

OpenStudy (anonymous):

-12x+18y=-6?

ganeshie8 (ganeshie8):

Excellent! next add that equation and the first equation

ganeshie8 (ganeshie8):

2x + y = 5 -12x+18y=-6 ------------------- -10x + 19y = -1 which is same as the first equation of system B !

ganeshie8 (ganeshie8):

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.

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!