Accdg. to the 1987 Philippine Constitution,what are the ways by which the State can make education accessible?

Article II, Section 17. Article XIII, Section 17.

But especially Article XIV, which deals entirely with Education. Here's Section 2 on the responsibilities of the State:
Section 2. The State shall:

(1) Establish, maintain, and support a complete, adequate, and integrated system of education relevant to the needs of the people and society;

(2) Establish and maintain, a system of free public education in the elementary and high school levels. Without limiting the natural rights of parents to rear their children, elementary education is compulsory for all children of school age;

(3) Establish and maintain a system of scholarship grants, student loan programs, subsidies, and other incentives which shall be available to deserving students in both public and private schools, especially to the underprivileged;

(4) Encourage non-formal, informal, and indigenous learning systems, as well as self-learning, independent, and out-of-school study programs particularly those that respond to community needs; and

(5) Provide adult citizens, the disabled, and out-of-school youth with training in civics, vocational efficiency, and other skills.