Please help me solve. Also how do i know a common point of intersection? Don't use matrices.

Problem No. 1.8 / 10 pts. 5 x1 + x2 + 6 x3 = 1 -x+ 3x2+3x3 =-2 3 x1 - x2 + 2x3 = -1 Do the three planes have at least one common point of intersection? Explain it in your own words or mathemaically. Do not use matrices. Show all your work, do not skip steps. Displaying only final answer is not enough to get credit