The equations x + 5 y = 10, 3 x minus y = 1, x minus 5 y = 10, and 3 x + y = 1 are shown on the graph below. On a coordinate plane, there are 4 lines. Green line goes through (0, negative 1) and (1, 2). Blue line goes through (0, 1) and (1, negative 2). Pink line goes through (0, 2), and (2, 1.5). Orange line goes through (negative 2, negative 2.5) and (2, negative 1.5).

The question is missing, so I will answer all the solution for each possible system of two equations.

Step-by-step explanation:

The equations

x + 5 y = 10 (red)

3 x - y = 1 (blue)

x - 5 y = 10 (green)

3 x + y = 1 (purple)

are shown in the picture atatched. The intersection between two lines is the solution of their system.

system:

x + 5 y = 10 (red)

3 x - y = 1 (blue)

solution: (0.938, 1.813)

system:

x + 5 y = 10 (red)

x - 5 y = 10 (green)

solution: (10, 0)

system:

x + 5 y = 10 (red)

3 x + y = 1 (purple)

solution: (-0.357, 2.071)

system:

3 x - y = 1 (blue)

x - 5 y = 10 (green)

solution: (-0.357, -2.071)

system:

3 x - y = 1 (blue)

3 x + y = 1 (purple)

solution: (0.333, 0)

system:

x - 5 y = 10 (green)

3 x + y = 1 (purple)

solution: (0.938, -1.813)

i'm not sure i quite understand, could you provide more information?