If you're not 50+ already and you think you will ever see a dime of SSI or Medicare, you are in for quite an M Night Shamylamyalmanyalnian twist. It's only 'free' in the sense that Congress squandered the real funding for the currently enrolled seniors, we pay directly into their expenses by working now.
That's the Presidency that was (past tense - only recently changed by executive order by the current President to disallow) allowed to spend the reserve fund on discretionary spending - and that was technically decades of prepayment. And it's a speed bump that exists til 2025-30 once we get over the speed bump that the size of the baby boomer generation entails. [Additionally note, you mentioned two avenues - it was only allowed for SS spending exclusively - only way it could've seen Medicare's hands was via premium expenses from recipients - very roundabout]
Or more in short, people that aren't stupid know it's going to survive in some form, either existing bandaided to get over the speed bump or adjusted into something more expansive of a single payer (and note, MOST SP systems in the world planned themselves after Medicare - more than a few even use the name Medicare) - it's twits that listen and believe right-wing hyperbole without even looking into stuff on their own that believe that both are going to implode.
Additionally, do you think Medicare is going to fail by 2019? Because you can actually get Medicare as early as 55 if you've got flagging health but not to disability criteria.
Even during the worst year for the projections of those years (2022 I think is the top of the crest with the longer estimate) they need to be helped along for about 20% of their funding for SS (Which 10% is the norm because of disability and other "welfare" parts of the program - again you screwed up your terms - SSI is never "paid for" by the recipient, and actually comes out of welfare funding to make sure they hit $708 a month currently if they don't have a full work record for it - SSI is SOCIAL SECURITY INSURANCE/SUPPLEMENTAL SECURITY INCOME. The SSA gives the payments, SSDI is for disability income that's been earned by the recipient (or their parent in the case of disabled children and other odd cases). The term from their book that you want, and brace yourself it's a doozy, is just SS.).
Or to put it in budgetary terms - about as much as Afghanistan and Iraq were costing us combined - for about the same time that it's looking like they'll be before they'll be completely closed in additional funding and then we're over the speed bump without additional adjustment.
And that's for the worst of the two you mentioned - Medicare barely runs into the general budget at all - and is projected to actually start generating a small profit in the CBO projections of the ACA. Medicaid costs are stagnating mostly under the projections however. (Note: Medicare's "profit" is generated in it not as much because of Medicare itself - only a slight savings occurs there - but excess revenue from other parts of the bill prioritize Medicare)
Or there's of course the options of additional adjustments, which can actually fix it before then with more actual adjustment of things (that Democrats have been trying to push many of them, but have been blockaded on passing any - by people that claim to love seniors in their next breaths) - AARP has done a number of flash games to demonstrate how trivial the fixes really are - can't find my favorite ATM - but this one works too:
Do-It-Yourself Social Security Fix, Options Help Close Gap - AARP Bulletin
Less Glenn Beck, more reality makes a nicer place (and a more accurate one). So much wrong in so few words.
PS - Two more incorrect statements while making over the top attempts to sound informed, while completely butchering simple things like the proper names for things that are DRASTICALLY DIFFERENT FROM EACH OTHER - its quite shocking.
PPS - Start out being cogent and coherent, then try to debate - it creates a giant strawman doing the ridiculous caricatures that the extreme right-wing does these days. [Including the incoming "I'm actually a libertarian, screw Republicans" statement to come soon, I'm sure]