Równania w postaci proporcji. Rozwiąż : a) 4/ -x = 6/7 b) 5-y/y = 3/4 c) 2/ x-5 = 4/x-4 / - kreska ułamkowa
a) 4/ -x = 6/7
-7x=24
x=-24/7=-3 i 3/7
b) 5-y/y = 3/4
20-4y=3y
-4y-3y=-20
-7y=20
y=-20/7=-2 i 6/7
c) 2/ x-5 = 4/x-4
2x-8=4x-20
2x-4x=20+8
-2x=28
x=-14
a)
mnożę na "krzyz"
4*7=-x*6
-6x=28 //:(-6)
x=-4 i 2/3
b)
5-y/y = 3/4
(5-y)*4=y*3
-7y=-20 //:7
y=2 i 6/7
c)
2/ x-5 = 4/x-4
2*(x-4)=(x-5)*4
-2x=28 //:(-2)
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a) 4/ -x = 6/7
-7x=24
x=-24/7=-3 i 3/7
b) 5-y/y = 3/4
20-4y=3y
-4y-3y=-20
-7y=20
y=-20/7=-2 i 6/7
c) 2/ x-5 = 4/x-4
2x-8=4x-20
2x-4x=20+8
-2x=28
x=-14
a)
mnożę na "krzyz"
4*7=-x*6
-6x=28 //:(-6)
x=-4 i 2/3
b)
5-y/y = 3/4
(5-y)*4=y*3
20-4y=3y
-7y=-20 //:7
y=2 i 6/7
c)
2/ x-5 = 4/x-4
2*(x-4)=(x-5)*4
2x-8=4x-20
-2x=28 //:(-2)
x=-14