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The 'solution' of an equation is the number which, when substitutedfor the variable, makes the equation a true statement.You have said: [ x = 5 ] .We claim that the solution is '5', because when '5' is substituted for 'x',the equation reads5 = 5and that's a true statement.
undefined means you can not do the operation (5/0 is undefined) no solution refers to an equation not having an answer. a solution is a number which you can plug into the variable of an equation and get a true statement. So having no solution means there is no number which you can plug in and get a true statement. As a fraction is not an equation, but an expression it is not right to say that 5/0 has no solution. There is no variable in 5/0, nothing to plug into to get a true or false statement.
n-5 is an expression, it cannot be a solution. Furthermore, there are infinitely many possible equations for which n = 5 could be a solution - even with the added requirements of the question.
The solution of an equation means the number that the variable must bein order to make the equation a true statement. If the variable has anyother value, then the equation is not true.For example, here's an equation:x - 4 = 2Can 'x' be 5 ? If it is, then 5-4=2. That's not true, so 'x' can't be 5.Can 'x' be 9 ? If it is, then 9-4=2. That's not true, so 'x' can't be 9.Can 'x' be 6 ? If it is, then 6-4=2. That's true. So '6' is the solution to the equation.
Let's call the number "x". The given equation can be translated as: x * 3 = 2 * (x + 5). Simplifying the equation, we have: 3x = 2x + 10. Subtracting 2x from both sides gives: x = 10. So the solution to the equation is x = 10.