Determin whether each statement is true or false.?

if the statement is false, change the paranthesized word to make it truee.





if you solve a system by linear combination or substituion, you find an (approximate) solution to the system





if, while sloving a system of linear equations, you are left with an equation that can never be true, you know that the system has (no solution).





if, while sloving a system of linear equations, you are left with an equation that can never be true, you know that the equations are (inconsistent).








thanxx it andvanceee


=]Determin whether each statement is true or false.?
In terms of the last two: yes, if you are left with something that can never be true then the system has no solution. A system with no solution is called an ';inconsistent'; system (that is how the word is defined in math). Very often in this situation you get an equation like '; 0=5 '; which is impossible and that means there is no solution.





I'm not sure exactly what the first question is trying to get at. If you solve a system by legitimate algebraic operations, then in theory you get an expression for an exact answer (assuming the system has a solution). A linear system can always be solved exactly. When you solve a linear system you will discover that there are either no solutions or there is exactly one solution or there are an infinite number of solutions. But solving a linear system will give you equations that can be solved exactly. If the system is not linear, then you may not always be able to get an explicit or exact solution.