You substitute the value of the variable into the equation and simplify. If the rsult is a true statement then that value of the variable really does satisfy the equation.
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"Solve an equation" means "find out, for which values of the variable or variables is the equation true".
It means that you prove that an equation is true for ALL values of the variable or variables involved.
a variable
If all the values of the "independent" variable (x) are different then it is a function.If there are any repeats of the independent variable, the corresponding dependent variable, y, must be the same.If all the values of the "independent" variable (x) are different then it is a function.If there are any repeats of the independent variable, the corresponding dependent variable, y, must be the same.If all the values of the "independent" variable (x) are different then it is a function.If there are any repeats of the independent variable, the corresponding dependent variable, y, must be the same.If all the values of the "independent" variable (x) are different then it is a function.If there are any repeats of the independent variable, the corresponding dependent variable, y, must be the same.
an equation that's true for all values is an identity.