Question 170466
{{{5x-y=-11}}}, EQN 1
{{{2x +6y=2}}}, EQN 2
By Substitution:
On EQN 1, {{{y=5x+11}}}, EQN 3, subst in EQN 2
{{{2x+6(5x+11)=2}}}
{{{2x+30x+66=2}}}, combine similar terms
{{{32x=2-66=-64}}} ---> {{{cross(32)x/cross(32)=cross(-64)2/cross(32)}}}
{{{highlight(x=-2)}}}
Subst. in EQn 3:
{{{y=5(-2)+11=-10+11}}}
{{{highlight(y=1)}}}
See graph:
{{{drawing(300,300,-5,5,-5,12,grid(1),graph(300,300,-5,5,-5,12,5x+11,(-1/3)x+(1/3)),blue(circle(-2,1,.15)))}}} ----> see point of intersection (-2,1), EQN 1 >>>Red Line, EQN 2>>>>Green Line
.
Thank you,
Jojo