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Chapter 11: Q. 25 (page 714)

Solve each system of equations. If the system has no solution, say that it is inconsistent.

2x+y=14x+2y=3

Short Answer

Expert verified

The given system of equations is inconsistent.

Step by step solution

01

Step 1. Given information.

The given equations are:

2x+y=14x+2y=3

02

Step 2. Determine one variable in terms of another variable.

The first equation can be written as:

2x+y=1y=1-2x

03

Step 3. Determine the value of one variable.

Substitute the above value in the second equation.

4x+2(1-2x)=34x+2-4x=32=3

This statement is false, it means the system has no solution. So, the given system of equations is inconsistent.

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