   Chapter 2.1, Problem 3E

Chapter
Section
Textbook Problem

In Exercises 1 − 18 , determine whether each system of linear equations has (a) one and only one solution, (b) infinitely many solutions, or (c) no solution. Find all solutions whenever they exist x + 4 y = 7 1 2 x + 2 y = 5

To determine

Whether each system of linear equations has (a) one and only one solution, (b) infinitely many solutions, or (c) no solution.

Explanation

Given:

Given equations are

x+4y=712x+2y=5

Calculation:

Consider the given equation

x+4y=7...(1)

12x+2y=5...(2)

Solve equation (1) for y in terms of x.

x+4y=74y=7xy=7x4

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