Explanation Given Information: The provided equations is 1 2 x + 3 10 y = 1 5 and 3 5 x + y = − 2 5 . Formula Used: The method of elimination uses the addition and multiplication principle to solve the two linear equations with two variables. Steps of the same will be: Step 1: Apply multiplication principle, if required, to make the equations equal. Step 2: Now, add the two resulting equations. Step 3: Eliminate the sale component with different signs. Step 4: Then, find the value of one variable which is left. Step 5: Substitute the value of the variable found in step 4 to find the value of the other variable. Step 6: Check the solutions Calculation: Consider the given equations 1 2 x + 3 10 y = 1 5 3 5 x + y = − 2 5 Now, to solve the equations by elimination method, First multiply by 20 on both side of the equation 1 2 x + 3 10 y = 1 5 , 1 2 x + 3 10 y = 1 5 20 ( 1 2 x + 3 10 y ) = ( 1 5 ) 20 10 x + 6 y = 4 Now, multiply by 5 on both side the equation 3 5 x + y = − 2 5 , 3 5 x + y = − 2 5 5 ( 3 5 x + y ) = ( − 2 5 ) 5 3 x + 5 y = − 2 Now, multiply by − 5 of the equation 10 x + 6 y = 4 , 10 x + 6 y = 4 − 50 x − 30 y = − 20 Multiply by 6 of the equation 3 x + 5 y = − 2 . 3 x + 5 y = − 2 18 x + 30 y = − 12 Add the resulting equations − 50 x − 30 y = − 20 and 18 x + 30 y = − 12

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Author: BITTINGER

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Chapter 13.3, Problem 10DE

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To calculate: The solution of the system of equation 12x+310y=15 and 35x+y=−25 by using elimination method.

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Chapter 13.3, Problem 9DE

Chapter 13.3, Problem 11DE

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Chapter 13 Solutions

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Ch. 13.1 - Prob. 1SR Ch. 13.1 - Prob. 2SR Ch. 13.1 - Prob. 1DE Ch. 13.1 - Prob. 2DE Ch. 13.1 - Prob. 3DE Ch. 13.1 - Prob. 4DE Ch. 13.1 - Prob. 5DE Ch. 13.1 - Prob. 6DE Ch. 13.1 - Prob. 7DE Ch. 13.1 - Prob. 8DE

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The solution of the system of equation 1 2 x + 3 10 y = 1 5 and 3 5 x + y = − 2 5 by using elimination method.

Solution Summary: The author explains the method of elimination, which uses the addition and multiplication principle to solve the two linear equations with two variables.

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To calculate: The solution of the system of equation 12x+310y=15 and 35x+y=−25 by using elimination method.

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Chapter 13 Solutions