Question 187987
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Given: {{{system(x=2y(EQN1),4x+2y=15(EQN2))}}}
Subst. EQN 1 in EQN2:
{{{4(highlight(2y))+2y=15}}}
{{{8y+2y=15}}} ----> {{{10y=15}}} --->{{{cross(10)y/cross(10)=cross(15)1.5/cross(10)}}}
{{{red(y=1.5)}}}, subst. in EQN 1:
{{{x=2(1.5)=red(3)}}}
These 2 lines intersect at point <font color=red> (3,1-1/2)</font>
{{{drawing(400,400,-10,10,-10,10,grid(1),graph(400,400,-10,10,-10,10,(1/2)x,(15-4x)/2),blue(circle(3,1.5,.12)))}}}---> RED (EQN 1);; GREEN (EQN 2)
Thank you,
Jojo</font>