TYLKO DLA OSÓB UMIEJĄCYCH RÓWNANIA
ZA DOBRĄ ODPOWIEDŹ DAJE NAJ ZA ZŁE ZGŁASZAM SPAM
a)
3x + 2y = 19
5x - y = 10
2y = 19 - 3x /: 2
y = 9,5 - 1,5x
5x -(9,5 - 1,5x) = 10
5x - 9,5 + 1,5x = 10
6,5x = 19,5 /: 6,5
x = 3
y = 9,5 - 1,5*3
y = 9,5 - 4,5
y = 5
b)
3x-y = 7
2x + 3y = 1
-y = 7-3x /*(-1)
2x = 1 - 3y /: 2
y = -7+3x
x = ½ - 1,5y
x = ½ - 1,5*(-7+3x)
x = ½ + 10,5 - 4,5x
y=-7+3x
5,5x = 11 /:5,5
y = -7+3*2
x = 2
y = -1
c)
0,4x + y = 6
x + 0,75y = 8
y = 6 - 0,4x
x + 0,75*(6 - 0,4x) = 8
x + 4,5 - 0,3x = 8
0,7x = 3,5 /: 0,7
y = 6 - 0,4*5
x = 5
y = 4
d)
2x = 1-3y / : 2
½x = 2-y
½ * (½ - 1,5y) = 2 - y
¼-¾y = 2-y
-¼y = 1¾ /: (-¼)
y = 7
x = ½ - 1,5 * 7
x = -10
e)
x-y-3 = 0
2x + 3y - 11 = 0
x = 3+y
2*(3+y) + 3y -11 = 0
6 + 2y +3y -11 = 0
5y = 11-6 / :5
y = 1
x = 3+1
x = 4
y =1
f)
-3(x+2)+ 2(x+y) = 2
2(y+2) + 3(x-y) = 2x -1
-3x -6 + 2x + 2y = 2
2y + 4 +3x - 3y = 2x -1
-3x+2x = 2+6-2y
-x = 8-2y / *(-1)
x = -8+2y
2y-3y = 2x-1-4-3x
-y = -x-5 / *(-1)
y = x+5
x = -8+2*(x+5)
x = 2 +2x
-x = 2 / *(-1)
x = -2
y = -2+5
y = 3
Sprawdzenie :
a)5x -y = 10
5*3 - 5 = 10
15 - 5 = 10
b)3x-y = 7
3*2-(-1) = 7
6+1 = 7
7=7
c)0,4x + y = 6
0,4*5+4 = 6
2+4=6
6=6
d)2x=1-3y
2*(-10) = 1 -3*7
-20 = -20
e)2x+3y-11 =0
8 + 3 -11 = 0
0=0
f)-3(x+2) + 2(x+y) = 2
-3(-2+2) + 2(-2+3) = 2
6-6-4+6=2
2=2
PROSZĘ ! Wszystko dobrze :]
Licze na naj ! :D
" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2024 KUDO.TIPS - All rights reserved.
a)
3x + 2y = 19
5x - y = 10
2y = 19 - 3x /: 2
5x - y = 10
y = 9,5 - 1,5x
5x - y = 10
y = 9,5 - 1,5x
5x -(9,5 - 1,5x) = 10
y = 9,5 - 1,5x
5x - 9,5 + 1,5x = 10
y = 9,5 - 1,5x
6,5x = 19,5 /: 6,5
y = 9,5 - 1,5x
x = 3
y = 9,5 - 1,5*3
x = 3
y = 9,5 - 4,5
x = 3
y = 5
x = 3
b)
3x-y = 7
2x + 3y = 1
-y = 7-3x /*(-1)
2x = 1 - 3y /: 2
y = -7+3x
x = ½ - 1,5y
y = -7+3x
x = ½ - 1,5*(-7+3x)
y = -7+3x
x = ½ + 10,5 - 4,5x
y=-7+3x
5,5x = 11 /:5,5
y = -7+3*2
x = 2
y = -1
x = 2
c)
0,4x + y = 6
x + 0,75y = 8
y = 6 - 0,4x
x + 0,75*(6 - 0,4x) = 8
y = 6 - 0,4x
x + 4,5 - 0,3x = 8
y = 6 - 0,4x
0,7x = 3,5 /: 0,7
y = 6 - 0,4*5
x = 5
y = 4
x = 5
d)
2x = 1-3y / : 2
½x = 2-y
x = ½ - 1,5y
½ * (½ - 1,5y) = 2 - y
x = ½ - 1,5y
¼-¾y = 2-y
x = ½ - 1,5y
-¼y = 1¾ /: (-¼)
x = ½ - 1,5y
y = 7
x = ½ - 1,5 * 7
y = 7
x = -10
y = 7
e)
x-y-3 = 0
2x + 3y - 11 = 0
x = 3+y
2x + 3y - 11 = 0
x = 3+y
2*(3+y) + 3y -11 = 0
x = 3+y
6 + 2y +3y -11 = 0
x = 3+y
5y = 11-6 / :5
x = 3+y
y = 1
x = 3+1
y = 1
x = 4
y =1
f)
-3(x+2)+ 2(x+y) = 2
2(y+2) + 3(x-y) = 2x -1
-3x -6 + 2x + 2y = 2
2y + 4 +3x - 3y = 2x -1
-3x+2x = 2+6-2y
2y + 4 +3x - 3y = 2x -1
-x = 8-2y / *(-1)
2y + 4 +3x - 3y = 2x -1
x = -8+2y
2y + 4 +3x - 3y = 2x -1
x = -8+2y
2y-3y = 2x-1-4-3x
x = -8+2y
-y = -x-5 / *(-1)
x = -8+2y
y = x+5
x = -8+2*(x+5)
y = x+5
x = 2 +2x
y = x+5
-x = 2 / *(-1)
y = x+5
x = -2
y = -2+5
x = -2
y = 3
Sprawdzenie :
a)5x -y = 10
5*3 - 5 = 10
15 - 5 = 10
b)3x-y = 7
3*2-(-1) = 7
6+1 = 7
7=7
c)0,4x + y = 6
0,4*5+4 = 6
2+4=6
6=6
d)2x=1-3y
2*(-10) = 1 -3*7
-20 = -20
e)2x+3y-11 =0
8 + 3 -11 = 0
0=0
f)-3(x+2) + 2(x+y) = 2
-3(-2+2) + 2(-2+3) = 2
6-6-4+6=2
2=2
PROSZĘ ! Wszystko dobrze :]
Licze na naj ! :D