X 5 9 3

The solution of equations is the central theme of algebra. In this chapter we will study some techniques for solving equations having one variable, x 5 9 3. To accomplish this we will use the skills learned while manipulating the numbers and symbols of algebra as well as the operations on whole numbers, decimals, and fractions that you learned in arithmetics.

Below are multiple fraction calculators capable of addition, subtraction, multiplication, division, simplification, and conversion between fractions and decimals. Fields above the solid black line represent the numerator, while fields below represent the denominator. In mathematics, a fraction is a number that represents a part of a whole. It consists of a numerator and a denominator. The numerator represents the number of equal parts of a whole, while the denominator is the total number of parts that make up said whole.

X 5 9 3

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Solution So, 48 people would be the legal room capacity.

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X 5 9 3

Solve Practice Play. Game Central. Greatest Common Factor.

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First Eliminate fractions, if any, by multiplying each term of the equation by the least common multiple of all denominators of fractions in the equation. This would make the fraction , which simplifies to , since the greatest common factor between the numerator and denominator is 2. Upon completing this section you should be able to: Use the multiplication rule to solve equations. The answer to the first question is found by using the substitution principle. Find the radius of a circle if the circumference is measured to be The answer to the second question involves the techniques for solving equations that will be discussed in the next few sections. The numerators also need to be multiplied by the appropriate factors to preserve the value of the fraction as a whole. If possible, the solution should be simplified. In fact, it is possible that a single problem could involve all the rules. To eliminate the fraction in the equation we need to multiply by a number that is divisible by the denominator 3. A conditional equation is true for only certain values of the literal numbers in it.

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Multiplying each side of the equation by 15, we obtain Why do we multiply both sides by 15? Circumference means "distance around. We next apply the division rule. An equation is a statement in symbols that two number expressions are equal. Check this solution in the original equation. Solution What number do we divide 2 by to obtain 7? Solving simple equations by multiplying both sides by the same number occurs frequently in the study of ratio and proportion. Take the fraction 1 2 for example. Now we must use the division rule. The final step should always be to check the solution. Refer to the addition section as well as the equations below for clarification. Could we first add 2 to both sides? Two equations are equivalent if they have the same solution set. To eliminate the fraction we need to multiply by a number that is divisible by the denominator. Upon completing this section you should be able to: Classify an equation as conditional or an identity.