exam Maths Puzzle Numerical Ability

how do you know when an equation has infinitely many solutions

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exam Other Question

Find the point P where the line x = 1 + t, y = 2t, z = -3t intersects the plane x + y - z = -1. solve if x E{1,2,3,4,5,6,}

1/2x = x/2

it's on page 42 a chapter test quetion. Thank you