Write a system of linear equation where (3,-5) is a solution to equation 1 but not 2 and (-1,7) is a solution to the system as a whole

Answer 1

Line 1 goes through (3, -5) and (-1,7). It's equation is y+5 = -3(x-3) or y = -3x+4

Line 2 goes through (-1,7) and any other point except (3,-5) such as the origin (0,0)

Line 2's equation could be y = -7x

y= -3x +4 and y=-7x

is a system of equations satisfying the given requirements