Explanation Given Information: The given pair of equations are − 4 x + 2 y = 12 and − 3 x − 2 y = 9 . Calculation: Consider the equations − 4 x + 2 y = 12 and − 3 x − 2 y = 9 . Now add the equations, − 4 x + 2 y = 12 − 3 x − 2 y = 9 _ − 7 x + 0 = 21 − 7 x = 21 Divide both sides of above equation by 7, − x = 21 7 x = − 3 Put x = − 3 in equation − 4 x + 2 y = 12 to get, − 4 x + 2 y = 12 − 4 ( − 3 ) + 2 y = 12 12 + 2 y = 12 2 y = 12 − 12 Further solve, 2 y = 0 y = 0 Thus, the ordered pair of solution for the pair of equation − 4 x + 2 y = 12 and − 3 x − 2 y = 9 is ( − 3 , 0 )

12th Edition

ISBN: 9781337630580

Author: Dale Ewen

Publisher: Cengage Learning

See similar textbooks

Concept explainers

Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These…

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are…

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) ge…

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.

Videos

Question

Chapter 9.2, Problem 6E

To determine

To calculate: The solution for the pair of equations −4x+2y=12−3x−2y=9, If there is no solution then determine whether the pair of lines is parallel or coincide.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 9.2, Problem 5E

Chapter 9.2, Problem 7E

Students have asked these similar questions

For f(x) = (x+3)² - 2 sketch f(x), f(x), f(x − 2), and f(x) — 2. State the coordi- nates of the turning point in each graph.

In quadrilateral QRST, m<R=60, m<T=90, QR=RS, ST=8, TQ=8 How long is the longer diagonal of QRST? Find the ratio of RT to QS.

No chatgpt pls will upvote

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 for the pair of equations − 4 x + 2 y = 12 − 3 x − 2 y = 9 , If there is no solution then determine whether the pair of lines is parallel or coincide.

Solution Summary: The author calculates the solution for the pair of equations c-4x+2y=12 -3x-2y =9. If there is no solution then determine whether

Concept explainers

Videos

To calculate: The solution for the pair of equations −4x+2y=12−3x−2y=9, If there is no solution then determine whether the pair of lines is parallel or coincide.

Want to see the full answer?

Chapter 9 Solutions