Question 7181
they intersect...think about it...this is where the 2 lines are equal. So at that point, their x-vlaues are the same and their y-values are the same.


So, we have y=2/3x+13.5 and y=-1/2x+3, so we can equate their y-values, as follows:


2/3x+13.5 = -1/2x+3  --> assuming it is just 1/2x and not 1/(2x+3)...you really show use brackets more, to avoid confusion!


{{{(2/3x)+13.5 = -(1/2x)+3}}}
{{{(2/3x)+(1/2x) = 3-13.5}}}
{{{(4/6x)+(3/6x) = -10.5}}}
{{{7/6x = -10.5}}} --> moving the x to the righthand side and the -10.5 to the lefthand side gives
{{{-7/6(10.5) = x}}}
-7/63 = x


--> x = -1/9


jon.