Total number of solutions to the system of linear equations 2x + 3y + z = 1, 4X + 6y + 2z = 3, 6x + 9y + 3z = 2 is 1

True

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False

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Solution

The correct option is B
False

Once you express the given equations in the form of matrices the determinant D = 0 and D1 = D2 = D3 = 0. So according to Cramer's rule there exists either infinite number of solutions or no solutions at all. So it can't be 1.

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Total number of solutions to the system of linear equations $x + y + z = 1, 2 x + 2 y + 2 z = 3,$
$x + y = 1$ is infinity.

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