If z = 7c, then find the value of x such that the given equations has infinite solutionx + 3y andndash; 2z = 02x andndash; y + 4z = 0x andndash; 11y + 14z = 0Correct answer is '-10'. Can you explain this answer?

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If z = 7c, then find the value of x such that the given equations has infinite solution
x + 3y – 2z = 0
2x – y + 4z = 0
x – 11y + 14z = 0

Correct answer is '-10'. Can you explain this answer?

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If z = 7c, then find the value of x such that the given equations has ...

The given system of equations is equivalent to the single matrix equation, AX = 0

To get the solution, consider the augmented matrix,

⇒ z is a free variable. The given system reduces to
x + 3y – 2z = 0
–7x + 8z = 0
Let z = c, where c is an arbitrary number. Then,

If we take c = 7, we get the solution as (–10 8 7)^T

The correct answer is: -10

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If z = 7c, then find the value of x such that the given equations has infinite solutionx + 3y – 2z = 02x – y + 4z = 0x – 11y + 14z = 0Correct answer is '-10'. Can you explain this answer?

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