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kingyof2thejring
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how do you find solutions to an equation like this (6-2x-2y=0)?
You can write it in a way so that one variable is dependent on the other:kingyof2thejring said:how do you find solutions to an equation like this (6-2x-2y=0)?
A solution to an equation is a value or set of values that, when substituted into the equation, make the equation true. In other words, it is the value(s) that satisfy the equation.
The process for solving an equation involves rearranging the equation to isolate the variable on one side of the equals sign, and then performing the inverse operations to both sides to find the value of the variable.
There are three types of solutions to equations: one solution, no solution, and infinitely many solutions. A one solution equation has only one value that satisfies the equation, a no solution equation has no value that satisfies the equation, and an infinitely many solutions equation has an infinite number of values that satisfy the equation.
An equation has no solution if, after simplifying both sides of the equation, the variable is eliminated and the equation becomes a false statement, such as 2=3. This means that the equation has no value that can make it true.
Some common mistakes to avoid when solving equations include not performing the same operation to both sides of the equation, forgetting to distribute or combine like terms, and making arithmetic errors. It is also important to check the solution(s) by substituting them back into the original equation to ensure they are correct.