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Solve the system of linear equations.

Solve the system of linear equations.-example-1

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Answer: The set does not have a solution

Explanation:

Adding Equations 1 & 3 we get 5x = 7. This gives x = 7/5

Putting this value of x in eq. 2 we get

-2y + 2z = -1-(7/5) or

2y - 2z = 12/5 or 5y - 5z = 6

Multiplying eq. 1 by 2 we get

4x + 2y - 2z = 6

adding this with eq. 2 we get 5x = 5 or x = 1

As the common solution for x from equations 1&3 does not satisfy eq. 1&2 it comes out that the three equations do not have a common solution.

Same can be verified by using different sets of two equations also.

User TwistedBlizzard
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