I seem to be having a problem here finding the intersection of the 2 planes and I know these planes intersect at a line. Here are the equations of the 2 planes:

$\displaystyle 3x + 5y + 6z = 21$

$\displaystyle 2x - y + 4z = 14$

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Now, the answer I get is:

$\displaystyle x = 7 - 2t$

$\displaystyle y = 0$

$\displaystyle z = \frac{7}{4} + 2t$

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This is apparently incorrect. Could someone please show me how to get the correct answer - which is:

$\displaystyle x = 3 - 2t$

$\displaystyle y = 0$

$\displaystyle z = 2 + t$

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Thank you. All help is appreciated.