Question 170704
Line Eqn's: {{{7x-3y=26}}} -----------> A
{{{2x+5y=25}}} -----------------------> B
In A:
{{{3y=7x-26}}}
{{{cross(3)y/cross(3)=(7x-26)/3}}}
{{{y=(7/3)x-(26/3)}}} ----------------> C
Subst. C in B:
{{{2x+5((7/3)x-(26/3))=25}}}
{{{2x+(35/3)x-(130/3)=25}}}
{{{(6x+35x)/3=25+(130/3)=(75+130)/3=205/3}}}, 
{{{(41x)/cross(3)=205/cross(3)}}}
{{{cross(41)x/cross(41)=cross(205)5/cross(41)}}}
{{{highlight(x=5)}}}
Subst. in C:
{{{y=(7/3)5-(26/3)=(35/3)-(26/3)=9/3}}}
{{{highlight(y=3)}}}
See the graph:
{{{drawing(400,400,-6,15,-10,10,grid(1),graph(400,400,-6,15,-10,10,(-2/5)x+5,(7/3)x-(26/3)),circle(5,3,.20)))}}} -------> Line A (Green) intersect at Line B (RED) at points (5,3) as shown (as computed too)
.
Thank you,
Jojo