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anonymous
 5 years ago
7x8y=40
8y7x=40
What is the solution?
Consistent or not?
Dependent or not?
anonymous
 5 years ago
7x8y=40 8y7x=40 What is the solution? Consistent or not? Dependent or not?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I think that they are consistent

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.07 8 40 8 740 //8/7*R1 + R2 > R2 7 8 40 0 9.14  85.7 rank(A) = 2 rank(AB) = 2 n = 2 so its consistent

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0no, the rank of matrix is 2 so is the system consistent

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so can we find out what th solution is and if it is dependent or not

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so is the solution infinitely, a point or no solution is my question also

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0http://en.wikipedia.org/wiki/System_of_linear_equations#Solving_a_linear_system u check the rank of coefficient matrix A and the rank of augmented matrix AB if (rank(A) == rank(AB) != col_num of A) there is infinte solutions (parametric solution) if (rank(A) == rank(AB) == col_num of A) there is one solution if (rank(A) != rank(AB) ) there is no solution

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0both your eqns are the same with a sign change. thus, ur system of eqns reduce to only one eqn i.e. either 7x8y=40 or 7x+8y=40. thus, we can write 7x=8y+40 which gives x=(8y+40)/7. which means take any value of y and u get the corresponding value of x. Now how many values of y are possible? i assume y is real; hence infinite. thus ur sys of eqn is consistent with infinite solns. Another rule wud be : if a1x+b1y=c1 and a2x+b2y=c2, then if a1/a2=b1/b2=c1/c2 then solns are infinite.
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