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Different ways to solve equations. We have 4 ways of solving one-step equations: Adding, Substracting, multiplication and division. If we add the same number to both sides of an equation, both sides will remain equal.
To solve a two step algebraic equation, all you have to do is isolate the variable by using either addition, subtraction, multiplication, or division.
Combine like terms on both sides. Subtract 6 y 6y 6y on both sides to keep the variable y to the left side only. Add 11 to both sides of the equation. Finally, divide both sides by 10 to get the solution.
Solve by clearing the fractions in the equation first. Multiply both sides of the equation by 4, the common denominator of the fractional coefficients. Use the distributive property to expand the expressions on both sides. Multiply. Add 3x to both sides to move the variable terms to only one side.
The following steps provide a good method to use when solving linear equations. Simplify each side of the equation by removing parentheses and combining like terms. Use addition or subtraction to isolate the variable term on one side of the equation. Use multiplication or division to solve for the variable.
Generally, the first step involves getting rid of the number farthest from the term with a variable being solved. Then, we eliminate the number closest to the variable. The number is either multiplying or dividing the variable. It is also called the coefficient of the term.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true. For equations having one unknown, raised to a single power, two fundamental rules of algebra, including the additive property and the multiplicative property, are used to determine its solutions.
Evaluate the left-hand side expression at the given value to get a number. Evaluate the right-hand side expression at the given value to get a number. See if the numbers match.