x = i n v ( A ) ∗ b { 17 x 1 + 24 x 2 + x 3 + 8 x 4 + 15 x 5 = 175 23 x 1 + 5 x 2 + 7 x 3 + 14 x 4 + 16 x 5 = 190 4 x 1 + 6 x 2 + 13 x 3 + 20 x 4 + 22 x 5 = 245 10 x 1 + 12 x 2 + 19 x 3 + 21 x 4 + 3 x 5 = 190 11 x 1 + 18 x 2 + 25 x 3 + 2 x 4 + 9 x 5 = 175 {\displaystyle x=inv(A)*b{\begin{cases}17x_{1}+24x_{2}+x_{3}+8x_{4}+15x_{5}=175\\23x_{1}+5x_{2}+7x_{3}+14x_{4}+16x_{5}=190\\4x_{1}+6x_{2}+13x_{3}+20x_{4}+22x_{5}=245\\10x_{1}+12x_{2}+19x_{3}+21x_{4}+3x_{5}=190\\11x_{1}+18x_{2}+25x_{3}+2x_{4}+9x_{5}=175\\\end{cases}}}
