ends said:-2x - 9y + 3z = -8
I set parameters, and i get
x= 4 - 4.5s + 1.5t
y = s
z = t
But the database I'm using says it's incorrect...
Yes, a system with one equation and three variables can be solved as long as there are enough constraints or additional information to determine a unique solution.
A system with one equation and three variables can have either one solution, infinite solutions, or no solution depending on the relationship between the variables in the equation.
The easiest way to solve a system with one equation and three variables is to use substitution or elimination to reduce the number of variables until you can solve for one variable and then use that value to solve for the remaining variables.
Yes, it is possible for a system with one equation and three variables to have no solution if the equation leads to a contradiction, such as 0 = 3. This means that the variables cannot satisfy the equation at the same time and there is no solution.
If there are more than three variables in a system with one equation, it is still possible to solve for a unique solution as long as there are enough constraints or additional information. This means that the number of variables does not determine the solvability of the system, but rather the number of constraints or equations does.