Solving Equations Example Continued a a a 3 2 3 3 9 12 2 a a a a a a a 3 3 3 2

# Solving equations example continued a a a 3 2 3 3 9

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Solving Equations Example Continued. a a a 3 2 3 3 9 12 2   a a a a a a a 3 3 3 2 3 3 9 12 3 3 2 a a 3 2 3 3 12 a a 2 6 3 9 12 a a 2 6 3 21 a 5 15 a 3
Martin-Gay, Developmental Mathematics 56 Substitute the value for x into the original equation, to check the solution. Solving Equations Example Continued Since substituting the suggested value of a into the equation produced undefined expressions, the solution is . 2 12 3 2 3 9 3 3 3 3 0 2 5 3 0 12
Martin-Gay, Developmental Mathematics 57 Solving an Equation With Multiple Variables for One of the Variables 1) Multiply to clear fractions. 2) Use distributive property to remove grouping symbols. 3) Combine like terms to simplify each side. 4) Get all terms containing the specified variable on the same side of the equation, other terms on the opposite side. 5) Isolate the specified variable. Solving Equations with Multiple Variables
Martin-Gay, Developmental Mathematics 58 2 1 1 1 1 R R R 2 1 2 1 2 1 1 1 1 R RR R R R R RR 1 2 2 1 RR RR R R 2 1 2 1 RR RR R R 2 2 1 RR R R R R R RR R 2 2 1 Solve the following equation for R 1 Example Solving Equations with Multiple Variables
Problem Solving with Rational Equations
Martin-Gay, Developmental Mathematics 60 Ratios and Rates Ratio is the quotient of two numbers or two quantities. The units associated with the ratio are important. The units should match. If the units do not match, it is called a rate , rather than a ratio. The ratio of the numbers a and b can also be written as a : b , or . b a
Martin-Gay, Developmental Mathematics 61 Proportion is two ratios (or rates) that are equal to each other. d c b a We can rewrite the proportion by multiplying by the LCD, bd. This simplifies the proportion to ad = bc. This is commonly referred to as the cross product . Proportions
Martin-Gay, Developmental Mathematics 62 Solve the proportion for x . 3 5 2 1 x x 2 5 1 3 x x 10 5 3 3 x x 7 2 x 2 7 x Solving Proportions Example Continued.
Martin-Gay, Developmental Mathematics 63 3 5 2 3 2 5 true Substitute the value for x into the original equation, to check the solution. So the solution is 2 7 x 7 2 7 1 5 3 2 2 Example Continued Solving Proportions
Martin-Gay, Developmental Mathematics 64 If a 170-pound person weighs approximately 65 pounds on Mars, how much does a 9000-pound satellite weigh? Mars on satellite pound - x Mars on person pound - 65 Earth on satellite pound - 9000 Earth on person pound - 170 000 , 585 65 9000 170 x pounds 3441 170 / 585000 x Solving Proportions Example
Martin-Gay, Developmental Mathematics 65 Given the following prices charged for various sizes of picante sauce, find the best buy.

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• Fall '16
• Sherwin C. Lagrama
• Fractions, Fraction, Elementary arithmetic, Rational function