linear combination method for 3 variables x + y +z = 4; 5x+5y+5z=12;x-4y+z=9

Question

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Answer 1

The three planes equations are x + y + z = 4

5x + 5y + 5z = 12

x - 4y + z = 9

Form a system with the equations of the planes and calculate ranks.

The two rows of the coefficient matrix are proportional.

Two parallel planes and the other cuts each in a line.