Steps for solving a linear equation with one unknow

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Steps for solving a linear equation with one unknow


An equation with only one unknown and its degree is 1 is called  linear equation whith one unkonw. The linear equation can always be transformed into the form of ax=b(a≠0), which is the standard form of  linear equation.

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The solution of the unary linear equation

1. Denominator removal: multiply the least common multiple of the denominators on both sides of the equation (also multiply the terms without the denominator);


2. Remove brackets: first remove brackets, then brackets, and finally braces; (Remember to change the sign if there is a minus sign outside the brackets)


3. Move items: move all items with unknown numbers to one side of the equation, and move all other items to the other side of the equation; (Move items to change sign)


4. Merge similar items: transform the equation into the form of ax=b(a≠0);


5. The coefficient is 1: divide the unknown coefficient A on both sides of the equation to get the solution of the equation x = b/a.


Properties of equality

1. Both sides of the equation add (or subtract) the same number or formula at the same time, and the equation is still an equation. If a=b, then a+c = b+c;


2. Both sides of an equation multiply or divide the same number that is not zero at the same time, and the result is still an equation. If a=b, then there is A C = B C or A present C = B present C (C ≠ 0);


3. The equation is transitive.


linear equation with one unknown commutative law of multiplication Additive commutative law