The system of linear equations has an unique solution.
Find the solution using Gaussian elimination of Gauss-Jordan
elimination.
These equations use sub-exponents, though.
2x1 + x2 = 7
2x1 - x2 + x3 = 6
3x1 - 2x2 + 4x3 = 11
How do you treat these sub-exponents?
They're called "subscripts" not "sub-exponents". It is exactly
the same as the problem
2x + y = 7
2x - y + z = 6
3x - 2y + 4z = 11
Which has solution (x, y, z) = (3, 1, 1)
So your problem has solution (x1, x2, x3) = (3, 1, 1)
You see, in practical real life problems that are done in, say,
Excel, there may be more than 26 unknowns. But there are only 26
alphabet letters. So to fix the problem they use numbered
subscripts for the same letter. The book could have given you
just x, y and z, but the author and your teacher wanted to
introduce to you subscripted variables. It's possible to run out
of letters, but not subscripts.
Edwin