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How do you determine if a problem has no solution?
There is no quick an easy (and universal) way to do that. You require some experience with solving different types of equations or problems.
Why is the period of a function important when solving a trig equation?
there can be more than 1 answer for some trig equations and you must use your knowledge of periodicity to get the answers.
Is solving equations by multiplying useful in real life?
Ir is in some people's real life. Example: millions of students that want to pass algebra.
What are the steps on solving equations?
The answer will depend very much on the nature of the equation. The steps required for a one-step equation are very different from the steps required for a partial differential equation. For some equations there are no straightforward analytical methods of solution: only numerical methods.
How do you slove 11x plus 6y equals 58?
You cannot solve one linear equation in two unknown variables (x and y), although some non-linear equations will suffice. You need two independent linear equations. All you can do is express one of the variables in terms of the other, but that is not solving the equation.
