Explanation Given information: The system of equation as below: a = 1 + b and b = 5 − 2 a Formula used: Follow the steps below to reach the solution. Step 1: Graph both the equations on x-y -plane, and mark them. Step 2: Look for the intersection point or points, if more. These points are the solutions. Step 3: Substitute the values in the original equations and check if the solution satisfies the equations. Calculation: Consider the system of equation as below: a = 1 + b and b = 5 − 2 a Draw the graph of the above equation as below: Consider equation as below: a = 1 + b Consider the value a = 0 and find the value of b at this point as below: a = 1 + b 0 = 1 + b b = − 1 The point is ( 0 , − 1 ) . Consider the value b = 0 and find the value of x at this point as below: a = 1 + b a = 1 + 0 a = 1 The point is ( 1 , 0 ) . Mark the points ( 0 , − 1 ) and ( 1 , 0 ) , and join them, extend the line in both the directions, the line is the graph for a = 1 + b . Consider the other equation as below: b = 5 − 2 a Consider the value a = 0 and find the value of b at this point as below: b = 5 − 2 a b = 5 − 2 ( 0 ) b = 5 The point is ( 0 , 5 ) . Consider the value b = 0 and find the value of a at this point as below: b = 5 − 2 a 0 = 5 − 2 a 2 a = 5 a = 2.5 The point is ( 2

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ISBN: 9780321848741

Author: Marvin L. Bittinger

Publisher: PEARSON

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Chapter 8.1, Problem 24ES

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To calculate: The solution for the system of equations a=1+b and b=5−2a with graphically. Also check the solution.

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Chapter 8.1, Problem 23ES

Chapter 8.1, Problem 25ES

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The solution for the system of equations a = 1 + b and b = 5 − 2 a with graphically. Also check the solution.

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To calculate: The solution for the system of equations a=1+b and b=5−2a with graphically. Also check the solution.

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Chapter 8 Solutions