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linear system is like a chemistry equation or math equation where on both sides it must balance. Nonlinear is a math equation or physics that does not appear to have a direct answer just like chaos theory. lulu254ever
if a dependent system of equation is solved, how many solutions will there be?
An inconsistent equation (or system of equations) is one that has no possible solutions. That is precisely why we call it inconsistent; there is no solution set that can be substituted for its variable or variables that will make the equation (or system) true.
For example:y = x, and2y = 2x
Yes
linear system is like a chemistry equation or math equation where on both sides it must balance. Nonlinear is a math equation or physics that does not appear to have a direct answer just like chaos theory. lulu254ever
2
In general, a system of non-linear equations cannot be solved by substitutions.
None, one or many - including infinitely many.
The first step is usually to solve one of the equations for one of the variables.Once you have done this, you can replace the right side of this equation for the variable, in one of the other equations.
Isolating a variable in one of the equations.
if a dependent system of equation is solved, how many solutions will there be?
An inconsistent equation (or system of equations) is one that has no possible solutions. That is precisely why we call it inconsistent; there is no solution set that can be substituted for its variable or variables that will make the equation (or system) true.
A system of equations means that there are more than one equations. The answer depends on the exact function(s).
For example:y = x, and2y = 2x
y=5xx2+y2=26Substitute the first equation into the second for y.x2 + (5x)2 = 26x2 + 25x2 = 2626x2 = 26x2 = 1x = SQRT(1) = 1 & -1y = 5*1 = 5y = 5*-1 = -5So the solutions are: (1,5) & (-1, -5)