Where in the US Constitution does it say anything that pertains to requiring Texas to provide education to illegal aliens (or to any child, for that matter) ?
The US Constitution is silent on education, which means it's up to the states.
I propose a possible solution to the problem of illegal immigration it's simple:
Make a law which requires all businesses to pay unskilled illegal immigrants the same paycheck as trained American citizens.
That way the businesses lose all incentive to hire them. The next step is to spread the word across the borders so that the immigrants will not make the mistake of becoming impoverished in US territories.
Of course the real challenge would be to convince business owners to support such a bill. But that's an ethical problem.
I don't think the matter of PROVIDING an education is at issue. It's whether a state can discriminate based on one's immigration status that is at issue. Clearly, a state may not. See article 1 section 8.
Maybe it is time for states to protect their own borders. The Federal Government seems to have abdicated that responsibility.