- #1
isaac200
- 7
- 0
Can any solve this x+y+z=1 x^2+y^2+z^2=35 x^3+y^3+z^3=97
huntoon said:5, -3 & -1 work... now about there order?
huntoon said:There isn't a way to find the order as far as I can see.
A linear simultaneous equation is a mathematical equation that contains two or more variables and can be expressed as a system of linear equations. This means that the highest power of any variable in the equation is 1. These equations can be solved simultaneously to find the values of the variables that satisfy all of the equations.
A linear simultaneous equation is typically solved using techniques such as substitution or elimination. These methods involve manipulating the equations to isolate one variable and then substituting its value into the other equations to find the remaining variables. Another method is using matrices and Gaussian elimination.
Linear simultaneous equations are important in science because they can be used to model and solve real-world problems that involve multiple variables. They are commonly used in physics, chemistry, economics, and other fields to analyze and predict various phenomena.
Yes, it is possible for a linear simultaneous equation to have no solution. This occurs when the equations are inconsistent, meaning that there is no set of values that satisfy all of the equations. Graphically, this would represent two parallel lines that do not intersect.
If the equations in a linear simultaneous equation are consistent, meaning that they have at least one solution, and the number of variables is equal to the number of equations, then the system will have a unique solution. If the number of variables is greater than the number of equations, then the system will have infinitely many solutions. This can be visualized as two lines that are identical or overlapping.