when you're really good in that kind of equation, but cannot, no matter what u do, CANNOT figure it out! when you look it up and can't find the answer in the back of the book. It depends on what kind of problem it is.
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By solving the equation. If you get some contradictory equation, the original equation has no solution, assuming you did everything correctly. For example, if you solve:x + 3 = x + 2
by subtracting x on both sides, you get:
3 = 2
which is always false (regardless of the value of "x").
When an equation is based on false assumptions, you know that it has not solution. At other times, you may be able to tell through trying to solve the equation and constantly failing.
If this value a satisfy the equation, then a is a solution for that equation. ( or we can say that for the value a the equation is true)
An equation is equivalent to another equation, if they have the same solution.
A situation equation follows the order of the story problem.For instance:Johnny has 8 apples, he eats some, and has 3 left.The situation equation would be: 8 - a = 3A solution equation is the equation that would help you find the solution. Your brain doesn't automatically know what "a" is, it has to rearrange the order of the equation and then solve.The solution equation would be: 8 - 3 = a, then you would solve it.
When you put the number in place of the variable (like maybe the 'x' or the 'y') wherever the variable occurs in the equation, and the statement you get out of all the numbers you have is not true, then you know the number is not a solution.
Draw the graph of the equation. the solution is/are the points where the line cuts the x(horisontal) axis .