To solve a basic algebraic equation, you need to isolate the variable on one side of the equation by using inverse operations. This means performing the opposite operation of what is being done to the variable. For example, if the equation is 2x + 5 = 15, you would subtract 5 from both sides to get 2x = 10, and then divide both sides by 2 to get x = 5.
If there are variables on both sides of the equation, you can start by combining like terms on each side. Then, use inverse operations to isolate the variable on one side of the equation. Once you have the variable on one side, you can continue solving the equation as normal.
Yes, you can always check your answer by substituting it back into the original equation. If your answer is correct, both sides of the equation should be equal.
To solve equations with fractions, you can start by eliminating the fractions by multiplying both sides of the equation by the least common denominator (LCD). This will allow you to work with whole numbers and solve the equation as normal.
If there are no solutions to the equation, it means that there is no value for the variable that will make both sides of the equation equal. This could happen if the equation leads to a contradiction, such as 0 = 5, or if the variable cancels out on both sides, leaving an equation like 0 = 0. In this case, you would write "no solution" as your answer.