Question

Use Elimination Method to solve this system of equations.
P+q+r=1
P+2q+5r=6
6p+7q+10r=11

Answer 1

Answer:

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Answer 2

Answer:

Infinite solutions along the line q+4r=5

Step-by-step explanation:

Subtract equation 2 from 1 and solve,

You get q+4r=5

Then subtract 6 times 2nd equation from 3rd equation,

You get again q+4r=5

Since both equations are same, it's impossible to solve further, and essentially means there's infinite solutions.

Don't believe me? Try (-1,1,1) , also (-1/4,0,5/4) and many others too.

This is because the three variable equations represent independent planes, and they intersect in a line in 3D space. See attachment.

Hope this clarifies.