Which is not a characteristic of true solutions?
103662
true solutions will not settle
220742
In the first equation replace y with -2x-2\n6x + 3(-2x-2) = -6\n6x - 6x - 6 = -6\n-6 = -6\nSince this equation is true, there are infinitely many solutions of the form (x,-2x-2) where x is any real number.\nAn example:\nIf x equals 0 than y = -2(0)-2 = -2\n(0,-2) is a solution.\n\nThat was just one example of the infinitely many solutions.\nThe correct answer is (x,-2x-2), where x is any real number.\n\nIn the above answer (from cleanmyburnoose) (2,2) is not a solution!  It does not satisfy the second equation!\nReplace x and y with 2 in the equation y=-2x-2\n2 = -2(2)-2\n-2 = -4-2\n-2 = -6 is not true.  Therefore, (2,2) is not a solution.
2775
They are not inconsistent. They have a solution (x,y)=(0,4). \n\nThey are not dependent, since one is not a multiple of the other. \n\nThey are independent.
1084156
The answer to that is a line.  If you want a unique solution to a two-variable problem, you need two equations.
747027
It'd be basic speaking qualitatively. NH3 is a base so any amount in water would make the solution basic.
152675
The word "solution" is synomynous with the phrase "homogeneous mixture," which means that it is uniform throughout.  When we say that coffee is a solution, we are saying that it is uniform throughout, which, for practical purposes, it is.
412953
An equation that is incorrect.
731608
The flaw in that sort of reasoning is due to the untrue assumption that the solution of all infinite series is infinite.  For example, the sum of the series \n\n1/2 + 1/4 + 1/8...\n\nhas infinite terms, but a finite solution of 1.  Applied to time and distance, your problems are solved.\n\nGary H
908083
Tried to do it algebraically, that was a booger.\n\nI plugged that into mathematica and it gave me an error normally generated when the inverse of a function is needed to represent a solution and the solution variable occurs in more than one argument of that function.\n\nThat one might not have a solution?
737009
a is true\nb is true\nc is not true\nd is true\ne is true\n\nBalanced equation is:\nCa(OH)2 + 2HCl ---> CaCl2 + 2H2O\n\nIonic equation is:\nCa(OH)2(s) + 2H3O(+)(aq) ---> Ca(+2)(aq) + 4H2O(l)
925102
Discriminant is part of the solution.  Just considering it tells you the types of solutions that you have.  \n\nThere are three possibilities:\n1. 2 real roots,\n2. 2 complex roots,\n3. 1 repeated real root.
909722
The only case that I could think of that A is not equal to B where AC=BC is when C=0.  Other than that A must equal B for the expression to be valid
736030
Wrong category, but rinse it with solution.
333704
1. False, a polynomial has no = sign.\n2. False, the log of zero (or any negative number) does not exist.
427860
There is an infinite number of solutions, \nthe set of solutions is :\n{(k,-k+12):k belongs to the set of real numbers}
238150
Not that I know of, but there are help sites that will show you how to solve a type of problem. Or you could ask here. I'll help.
334300
A linear equation can have three solutions...\n-All numbers that fit the equations\n-No solution\n-Or just one set\n\n\nI just had a test on that today.