Explanation Given Information: The provided system of equations is, 2 x − 3 y = 1 6 x − 9 y = 3 Formula used: Elimination Method: This method is used to find the solutions of the system of linear equations by eliminating one of the two variables from the equations. Multiply the equations with suitable non-zero numbers. Then combine the equations in such a way so that one of the variables get eliminated and then evaluate the value of the other variable. Then substitute the value of this variable in either of the equations to get the value of the first variable. Calculation: Consider the equations, 2 x − 3 y = 1 …… (1) 6 x − 9 y = 3 …… (2) Multiply equation (1) by 3 and equation (2) by − 1 . 3 ⋅ ( 2 x − 3 y ) = 3 ( 1 ) 6 x − 9 y = 3 And − 1 ⋅ ( 6 x − 9 y ) = − 1 ( 3 ) − 6 x + 9 y = − 3 Add equations 6 x − 9 y = 3 and − 6 x + 9 y = − 3 . 6 x − 9 y = 3 − 6 x + 9 y = − 3 _ 0 = 0 It seems that the provided system of equations has infinite solutions. To find the solution of the system of equations, graphically, plot the graphs of the equations and find the intersection point. To plot the graph of the equations, find the ordered pairs. Consider the equation, 2 x − 3 y = 1 Substitute x = 0 in the equation 2 x − 3 y = 1 . 2 ( 0 ) − 3 y = 1 0 − 3 y = 1 − 3 y = 1 y = − 1 3 Substitute x = 1 2 in the equation 2 x − 3 y = 1 . 2 ( 1 2 ) − 3 y = 1 1 − 3 y = 1 − 3 y = 1 − 1 − 3 y = 0 Simplify it further, y = 0 Substitute x = − 1 in the equation 2 x − 3 y = 1

Finite Mathematics and Applied Calculus (MindTap Course List)

7th Edition

ISBN: 9781337274203

Author: Stefan Waner, Steven Costenoble

Publisher: Cengage Learning

See similar textbooks

Videos

Question

Chapter 4.1, Problem 18E

To determine

To calculate: The solution to the system of equations 2x−3y=1 and 6x−9y=3 and check the answer graphically.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 4.1, Problem 17E

Chapter 4.1, Problem 19E

Students have asked these similar questions

Write an equation for the function graphed below 5+ 4 - -7 -6 -5 -4 -3 -2 -1 y = 3. 2 1 + 1 2 3 4 5 6 7 -1 -3 -4 5 -5+ a

Approximate graphically the radius and height of a cylindrical container with volume 50 cubic inches and lateral surface area 75 square inches. h 2лr The radius is in and the height is in. (Round to the nearest hundredth.) h Volume of a cylinder = r²h Lateral area of a cylinder = 2лrh

Find the derivative of the following function. -8e5x y= 9x+2

Chapter 4 Solutions

Finite Mathematics and Applied Calculus (MindTap Course List)

Ch. 4.1 - In Exercises 1-6, find three different particular...Ch. 4.1 - In Exercises 1-6, find three different particular...Ch. 4.1 - In Exercises 1-6, find three different particular...Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E Ch. 4.1 - In Exercises 7-20, find all solutions of the given...Ch. 4.1 - In Exercises 7-20, find all solutions of the given...Ch. 4.1 - In Exercises 7-20, find all solutions of the given...Ch. 4.1 - In Exercises 7-20, find all solutions of the given...

Knowledge Booster

$Calculus$

Learn more about

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

The solution to the system of equations 2 x − 3 y = 1 and 6 x − 9 y = 3 and check the answer graphically.

Solution Summary: The author explains the Elimination Method, which is used to find the solutions of the system of linear equations.

Videos

To calculate: The solution to the system of equations 2x−3y=1 and 6x−9y=3 and check the answer graphically.

Want to see the full answer?

Chapter 4 Solutions