9x + 5y = 1 2x + 3y = 8
5y = 1 - 9x 3y = 8 - 2x
y = (1-9x)/5 y = (8 - 2x)/3
(1 - 9x)/5 = (8 - 2x)/3
3(1 - 9x) = 5(8 - 2x)
3 - 27x = 40 - 10x
- 27x + 10x = 40 - 3
- 17x = 37
x = - (2)3/17
y = [8 - 2*(-2 3/17)] / 3 = (8 + 4 6/17) / 3= (4)6/17
Координаты точки пересечения прямых : (- 2 3/17; 4 6/17)