Question 965172
{{{system(x + 200y = -30,10x - 70y = 100)}}}


{{{system(200y=-x-30,x-7y=10)}}}


{{{system(y=-x/200-3/20,-7y=-x+10)}}}


{{{highlight(system(y=-x/200-3/20,y=x/7-10/7))}}}


The each line has different slope; one being {{{-1/200}}} and the other being {{{1/7}}}, which are not equal.
The system of equations has ONE intersection point.