dwie proste przecieto prostymi rownoległymi oblicz dlugosci odcinkow x i y
1.
⇒x=40/4=10 ∧ y=24/4=6
2.
144/y=36/x
y+x=150
36y=144x
y+x=150
y=144x/36
y=150-x
4x=150-x
x=30
y=120
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x/40=y/24
{24x=40y
{x+y=16 ==> x=16-y
24(16-y)=40y
384-24y=40y
-24y-40y=-384
-64y=-384 /:(-64)
y=6
{x=16-y=16-6=10
{y=6
b) y/x=144/36
{36y=144x
{x+y=150 ==> x=150-y
36y=144(150-y)
36y=21600-144y
36y+144y=21600
180y=21600 /:180
y=120
x=150-y
{x=150-120=30
{y=120