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Ans. The commutative rule of addition, the commutative rule of multiplication, the associative rule of addition, the associative rule of multiplication, and the distributive property of multiplication make up the fundamental rules of the algebra.

Comparative method is about looking at an object of study in relation to another. The object of study is normally compared across space and/or time.

Golden Rule of Algebra: ?Do unto one side of the equal sign as you will do to the other?? **Whatever you do on one side of the equal sign, you MUST do the same exact thing on the other side. If you multiply by -2 on the left side, you have to multiply by -2 on the other.

The comparison method, a procedure for solving systems of independent equations, starts by rewriting each equation with the same variable as the subject. Any of the variables may be chosen as the first variable to isolate. Each equation is now an isolated-subject equation, and equation where one variable is isolated.

The cardinal rule of algebra itself is balance. An equation has an equals sign, and whatever is on one side of the equals sign must equal what is on the other side of the equals sign. With that in mind, we can do anything we want to an equation - as long as we preserve the balance on both sides of the equals sign.

The Basic Laws of Algebra are the associative, commutative and distributive laws. They help explain the relationship between number operations and lend towards simplifying equations or solving them. The arrangement of addends does not affect the sum.

The first rule of algebra states that if two variables are equal, then their product is also equal. For example, if you want to solve for x in the equation x = 5 y + 3, you can use the rule of algebra to simplify the equation: y = 2x + 3.

Solving a System of Equations - Comparison Method Example YouTube Start of suggested clip End of suggested clip And then once you have that X plug it into one of the two equations. To get the corresponding Y. AndMoreAnd then once you have that X plug it into one of the two equations. To get the corresponding Y. And you could pick either one it doesn't matter as you saw in the last example.