This is hopefully the last one i'll need help with
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?
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.
i think this problem is scaring people away...
``` 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 ?
i dont understand what you're asking
look at system A, how many equations are there ?
2?
whats the second equation ?
A & B : -4x + 6y = -2
multiply both sides of that equation by 3, what do u get ?
-12x+18y=-6?
Excellent! next add that equation and the first equation
2x + y = 5 -12x+18y=-6 ------------------- -10x + 19y = -1 which is same as the first equation of system 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.
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