Burnham sold British families to bond markets for forty-five pounds a year.

Twenty-four hours into office, the new prime minister — Andy Burnham, Labour — has done two things. He named former Defense Secretary John Healey as chancellor of the exchequer, a Treasury veteran from the Gordon Brown years chosen to reassure investors that Britain will reduce debt at levels last seen in the 1960s. And he announced a scrapping of the tax on home electricity for at least six months beginning in October, saving the average household £45 a year. The tax cut is funded by canceling plans to introduce digital ID, a program that has not yet produced a line item anyone could see.

You cannot fund a rescue with savings from a cost that has not been incurred. You can only announce it that way.

Forty-five pounds. That is what a half-year of electricity-tax relief looks like per household. It is not a week’s groceries for a family of four. It is not half a month of childcare. It is a figure designed to prove the government knows households are struggling without costing enough to alarm the people who buy government debt.

This is the structural arithmetic that sank Burnham’s predecessor. The administration has spent months assembling a list of cuts that cannot close the gap. The TUC backs the electricity VAT cut. The TUC also pushes for a bank tax that would raise revenue at the scale the crisis actually requires. The distance between those two numbers — between a tax cut households will not feel and a levy that might produce real revenue — is the distance between what voters need and what bond markets will allow.

Healey is the signal that the markets will get what they need. He served under Brown at the Treasury. He knows where the books are. The question is what knowing where the books gets you when the books reflect debt levels from the 1960s and voters are facing cost-of-living pressures that defined this government’s political crisis before it took office.

The answer is £45. That is what remains when you have to give something to voters and something to markets and there is nothing else in the drawer. It is not enough to change a household’s monthly budget. It is enough to demonstrate the government is trying. The trying is the product. The £45 is the receipt.

The digital ID cancellation — the program that pays for the program that is not enough — sits on a six-month clock. When the electricity tax suspension ends, the government faces the same decision with one fewer line item to cancel and the same gap to close. The trade-off is not a one-time event. It is a rolling arithmetic of small choices that add up to nothing, because the structural gap between what families need and what markets permit is too wide for any of them to cross.

This is what serving two masters looks like at the kitchen table: forty-five pounds a year and a canceled program no one had seen, announced as relief. It is not relief. It is a forty-five-pound apology from a government that has already chosen who matters more.