Explanation Given Information: The pair of equation 4 x + y = 30 and − 2 x + 5 y = 18 . Formula used: Steps to solve linear equations by substituting method, Step 1: To substitute the value of one variable in the one equation, first evaluate one equation for one variable and then substitute the value of this variable in the second equation. Step 2: After substituting, the one variable should be eliminate from the resultant equation. Step 3: Solve the resultant equation for the variable, which is present in this equation. Step 4: After solution of the variable from step 3, now substitute this value in any equation which is provided, and then solve the equation to find second unknown variable. Step 5: Check the solutions by substituting in the both provided equations. Calculation: Consider the provided equations 4 x + y = 30 and − 2 x + 5 y = 18 , From 4 x + y = 30 , find the value of y by subtracting 4 x , 4 x + y − 4 x = 30 − 4 x y = 30 − 4 x Substitute y = 30 − 4 x in − 2 x + 5 y = 18 as, − 2 x + 5 y = 18 − 2 x + 5 ( 30 − 4 x ) = 18 − 2 x + 150 − 20 x = 18 − 22 x = 18 − 150 Further solve, − 22 x = − 132 x = − 132 − 22

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ISBN: 9781285199191

Author: Dale Ewen, C. Robert Nelson

Publisher: Cengage Learning

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Chapter 9.3, Problem 23E

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To calculate: The solution of the pair of equation 4x+y=30 and −2x+5y=18 by using method of substitution and check the solutions.

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Chapter 9.3, Problem 22E

Chapter 9.3, Problem 24E

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Chapter 9 Solutions

Elementary Technical Mathematics

Ch. 9.1 - Draw the graphs of each pair of linear equations....Ch. 9.1 - Prob. 2E Ch. 9.1 - Draw the graphs of each pair of linear equations....Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E Ch. 9.1 - Prob. 7E Ch. 9.1 - Prob. 8E Ch. 9.1 - Draw the graphs of each pair of linear equations....Ch. 9.1 - Draw the graphs of each pair of linear equations....

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The solution of the pair of equation 4 x + y = 30 and − 2 x + 5 y = 18 by using method of substitution and check the solutions.

Solution Summary: The author explains how to solve linear equations by substituting method.

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To calculate: The solution of the pair of equation 4x+y=30 and −2x+5y=18 by using method of substitution and check the solutions.

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Chapter 9 Solutions