Conditions for a system of linear equations to have a unique solution
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Q. 4(81+x)=(3k)x
In the above equation, k is a constant. For what value of k, is there a unique solution to the equation?
In the above equation, k is a constant. For what value of k, is there a unique solution to the equation?
- Any real value
- Any real value except 4/3
- Any real value between -4/3 and 4/3
- k = 4/3
Q. -6x + 4y = 2 ;
3x + 2y = -1
Consider the system of equations above. If (x, y) is a solution of the equations above, then how many possible values are there for (x, y) ?
3x + 2y = -1
Consider the system of equations above. If (x, y) is a solution of the equations above, then how many possible values are there for (x, y) ?
- No solution
- Infinitely many solutions
- One solution
- None of the above
Q.
If the equations in a system of two linear equations in two variables are graphed, each graph will be a line. Which of the following System of Linear equations will have only one solution ?
- Parallel lines
- Coincidental lines
- Intersecting lines
- All of the above