anonymous
  • anonymous
This is hopefully the last one i'll need help with
Mathematics
katieb
  • katieb
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anonymous
  • 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?
anonymous
  • 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.
anonymous
  • anonymous
i think this problem is scaring people away...

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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 ?
anonymous
  • anonymous
i dont understand what you're asking
ganeshie8
  • ganeshie8
look at system A, how many equations are there ?
anonymous
  • anonymous
2?
ganeshie8
  • ganeshie8
whats the second equation ?
anonymous
  • anonymous
A & B : -4x + 6y = -2
ganeshie8
  • ganeshie8
multiply both sides of that equation by 3, what do u get ?
anonymous
  • 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.

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