How does a government facilitate comprehensive care for its constituents without sacrificing equity?

I think to answer this question fairly in my eyes to make so the government doesn’t look completely like a failure. Is first of all the government is stuck between a rock and a hard place because they do give out comprehensive care but I see a lot of people either use it wisely or abuse it. For example Food stamps is one way I see it being abused, people who don’t even need it anymore still go buy other things other than food with the stamps when there is people almost being thrown out on the street because they cannot afford the cost of living. But then I see like the House buyers credit, that the government is being way helpful and giving everyone an equal chance to use it. And Tax returns are another way they give equity, even if you have to pay or not pay. It gives you that chance.