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Chapter 11: Q. 26 (page 714)

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

x-y=5-3x+3y=2

Short Answer

Expert verified

The given system of equations is inconsistent.

Step by step solution

01

Step 1. Given information.

The given equations are:

x-y=5-3x+3y=2

02

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

The first equation can be written as:

x-y=5x=5+y

03

Step 3. Determine the value of one variable.

Substitute the above value in the second equation.

-3(5+y)+3y=2-15-3y+3y=2-15=2

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

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