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

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<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> solve the system of equations.If the system has no solution,say that it is inconsistent.

asked Feb 11, 2015 in PRECALCULUS by anonymous

1 Answer

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Step 1:

The system of equations are .

To eliminate the y value add the equations (2) and (3).

                                    

Multiple each side of the equation (1) by 2 .

Add the above equation with equation (2).

Step 2:

Subtract the equation (4) from equation (5).

The original system is equivalent to a system containing two equations.

Therefore the equations are dependent and the system has infinitely many solutions.

Now solve the equation (4) for x.

image

Substitute image  in equation (1).

image

Solution:

image.

answered Feb 11, 2015 by yamin_math Mentor

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