Explanation Given information : 2 x + 5 y = 16 ; 3 x − 7 y = 24 Concept Involved: In order to graph a line we need to solve equation of the form A x + B y = C for y and write in slope intercept form y = m x + b where m is the slope and b is the y-intercept. Let us pick some x-values, substitute them in each equation and find the corresponding y values. Plot the points, then join them to get the graph of each line Calculation: Description Steps In the process of solving for y in the equation 2 x + 5 y = 16 , we need to subtract 2x on both sides 2 x + 5 y − 2 x = − 2 x + 16 5 y = − 2 x + 16 Dividing 5 on both sides of equation and simplify 5 y 5 = − 2 x + 16 5 Simplify fraction in left side and factor -2 in the right side of the equation y = − 2 5 ( x − 8 ) In the process of solving for y in the equation 3 x − 7 y = 24 , we need to subtract x on both sides 3 x − 7 y − 3 x = − 3 x + 24 − 7 y = − 3 x + 24 Dividing -7 on both sides of equation and simplify − 7 y − 7 = − 3 x + 24 − 7 Simplify fraction in left side and factor -3 in the right side of the equation y = 3 7 ( x − 8 ) To graph the first equation y = − 2 5 ( x − 8 ) : Pick some x-values in such a way that we have multiples of 5 in place of x-8 to get y as whole number and easier to plot. x y = − 2 5 ( x − 8 ) ( x , y ) − 2 y = − 2 5 ( − 2 − 8 ) = 20 5 = 4 (

Calculus : The Classic Edition (with Make the Grade and Infotrac)

5th Edition

ISBN: 9780534435387

Author: Earl W. Swokowski

Publisher: Brooks/Cole

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Chapter 1.1, Problem 71E

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Chapter 1.1, Problem 70E

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Chapter 1.1 Solutions

Calculus : The Classic Edition (with Make the Grade and Infotrac)

Ch. 1.1 - Prob. 1E Ch. 1.1 - Prob. 2E Ch. 1.1 - Prob. 3E Ch. 1.1 - Prob. 4E Ch. 1.1 - Prob. 5E Ch. 1.1 - Prob. 6E Ch. 1.1 - Prob. 7E Ch. 1.1 - Prob. 8E Ch. 1.1 - Prob. 9E Ch. 1.1 - Prob. 10E

Ch. 1.1 - Prob. 11E Ch. 1.1 - Prob. 12E Ch. 1.1 - Prob. 13E Ch. 1.1 - Prob. 14E Ch. 1.1 - Prob. 15E Ch. 1.1 - Prob. 16E Ch. 1.1 - Prob. 17E Ch. 1.1 - Prob. 18E Ch. 1.1 - Prob. 19E Ch. 1.1 - Prob. 20E Ch. 1.1 - Prob. 21E Ch. 1.1 - Prob. 22E Ch. 1.1 - Prob. 23E Ch. 1.1 - Prob. 24E Ch. 1.1 - Prob. 25E Ch. 1.1 - Prob. 26E Ch. 1.1 - Prob. 27E Ch. 1.1 - Prob. 28E Ch. 1.1 - Prob. 29E Ch. 1.1 - Prob. 30E Ch. 1.1 - Prob. 31E Ch. 1.1 - Prob. 32E Ch. 1.1 - Exer. 1738: Solve the inequality and express the...Ch. 1.1 - Prob. 34E Ch. 1.1 - Prob. 35E Ch. 1.1 - Prob. 36E Ch. 1.1 - Prob. 37E Ch. 1.1 - Prob. 38E Ch. 1.1 - Prob. 39E Ch. 1.1 - Prob. 40E Ch. 1.1 - Prob. 41E Ch. 1.1 - Prob. 42E Ch. 1.1 - Prob. 43E Ch. 1.1 - Prob. 44E Ch. 1.1 - Prob. 45E Ch. 1.1 - Prob. 46E Ch. 1.1 - Prob. 47E Ch. 1.1 - Prob. 48E Ch. 1.1 - Prob. 49E Ch. 1.1 - Prob. 50E Ch. 1.1 - Prob. 51E Ch. 1.1 - Prob. 52E Ch. 1.1 - Prob. 53E Ch. 1.1 - Prob. 54E Ch. 1.1 - Prob. 55E Ch. 1.1 - Prob. 56E Ch. 1.1 - Prob. 57E Ch. 1.1 - Prob. 58E Ch. 1.1 - Prob. 59E Ch. 1.1 - Prob. 60E Ch. 1.1 - Prob. 61E Ch. 1.1 - Prob. 62E Ch. 1.1 - Prob. 63E Ch. 1.1 - Prob. 64E Ch. 1.1 - Prob. 65E Ch. 1.1 - Prob. 66E Ch. 1.1 - Prob. 67E Ch. 1.1 - Prob. 68E Ch. 1.1 - Prob. 69E Ch. 1.1 - Prob. 70E Ch. 1.1 - Prob. 71E Ch. 1.1 - Prob. 72E Ch. 1.1 - Prob. 73E Ch. 1.1 - Prob. 74E Ch. 1.1 - The rate at which a tablet of vitamin C begins to...Ch. 1.1 - Prob. 76E Ch. 1.1 - Prob. 77E Ch. 1.1 - Prob. 78E Ch. 1.1 - Prob. 79E Ch. 1.1 - Prob. 80E Ch. 1.1 - Prob. 81E Ch. 1.1 - Prob. 82E

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Chapter 1.1 Solutions