Explanation Given Information: The pair of equation 2 x + 3 y = 12 and 5 x − 6 y = − 51 . 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 equations 2 x + 3 y = 12 and 5 x − 6 y = − 51 , From 2 x + 3 y = 12 find the value of x by subtract 3 y and then divide 2 in the both sides, 2 x + 3 y = 12 2 x = 12 − 3 y x = 12 − 3 y 2 x = 6 − 3 y 2 Substitute x = 6 − 3 y 2 in 5 x − 6 y = − 51 as, 5 x − 6 y = − 51 5 ( 6 − 3 y 2 ) − 6 y = − 51 30 − 15 y 2 − 6 y = − 51 − 15 y − 12 y 2 = − 51 − 30 Further solve by multiply by − 2 27 to both sides

11th Edition

ISBN: 9781285199191

Author: Dale Ewen, C. Robert Nelson

Publisher: Cengage Learning

See similar textbooks

Videos

Question

Chapter 9.3, Problem 26E

To determine

To calculate: The solution of the pair of equation 2x+3y=12 and 5x−6y=−51 by using method of substitution and check the solutions.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 9.3, Problem 25E

Chapter 9.4, Problem 1E

Students have asked these similar questions

Solve the following nonlinear system using Newton's method 1 f1(x1, x2, x3)=3x₁ = cos(x2x3) - - 2 f2(x1, x2, x3) = x² - 81(x2 +0.1)² + sin x3 + 1.06 f3(x1, x2, x3) = ex1x2 +20x3 + Using x (0) X1 X2 X3 10π-3 3 = 0.1, 0.1, 0.1 as initial conditio

Use the graph of the function y = g(x) below to answer the questions. y' -5 -4 4- 3- 27 -2 -3+ -4 x 4 (a) Is g(-2) negative? Yes No (b) For which value(s) of x is g(x) > 0? Write your answer using interval notation. ☐ (c) For which value(s) of x is g(x) = 0? If there is more than one value, separate them with commas. 0,0... (0,0) (0,0) (0,0) (0,0) OVO 0

It is given that E4E3E2E1A=⎡⎣⎢⎢⎢−1002−40488⎤⎦⎥⎥⎥. Here the matrices E4, E3, E2, and, E1 are: E1=⎡⎣⎢⎢⎢100010008⎤⎦⎥⎥⎥E2=⎡⎣⎢⎢⎢100010−501⎤⎦⎥⎥⎥E3=⎡⎣⎢⎢⎢1000−10001⎤⎦⎥⎥⎥E4=⎡⎣⎢⎢⎢001010100⎤⎦⎥⎥⎥

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....

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

The solution of the pair of equation 2 x + 3 y = 12 and 5 x − 6 y = − 51 by using method of substitution and check the solutions.

Solution Summary: The author calculates the solution of the pair of equations 2x+3y =12 and 5x-6y=-51 by using substitution and check the solutions.

Videos

To calculate: The solution of the pair of equation 2x+3y=12 and 5x−6y=−51 by using method of substitution and check the solutions.

Want to see the full answer?

Chapter 9 Solutions