An offset calibration is inverted only after the offset is removed. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

A nonzero offset must be subtracted

Value 0 gives signal 2, so the offset is 2.

b=2b=2
Calibration lineStandards fix slope, offset, inverse value, and range gate.low standardhigh standardunknown

Inverse calibration subtracts offset first

Unknown signal 11 minus offset 2 divided by slope 3 gives 3.

11=2+3311=2+3\cdot3
Calibration lineStandards fix slope, offset, inverse value, and range gate.low standardhigh standardunknown