Explanation Given Information: The pair of equation 4 x + 5 y = 10 and 4 x = − 10 y . 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 + 5 y = 10 and 4 x = − 10 y , From 4 x = − 10 y find the value of x , divided both sides by 4, 4 x = − 10 y 4 x 4 = − 10 y 4 x = − 10 4 y Substitute x = − 10 4 y in 4 x + 5 y = 10 as, 4 x + 5 y = 10 4 ( − 10 4 y ) + 5 y = 10 − 10 y + 5 y = 10 − 5 y = 10 Further solve, y = − 10 5 = −

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Author: Dale Ewen, C. Robert Nelson

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Chapter 9.3, Problem 10E

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To calculate: The solution of the pair of equation 4x+5y=10 and 4x=−10y by using method of substitution and check the solutions.

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Chapter 9.3, Problem 9E

Chapter 9.3, Problem 11E

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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 + 5 y = 10 and 4 x = − 10 y by using method of substitution and check the solutions.

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To calculate: The solution of the pair of equation 4x+5y=10 and 4x=−10y by using method of substitution and check the solutions.

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