Proszę o zrobienie zadań 4 i 5 w całości mam to na jutro błagam
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Zadanie 4
a)
3x = 12 |:3
x - y = 1
x = 4
4 - y = 1 |-4
-y = -3 |*(-1)
y = 3
b)
5y = 2 |:5
x + y = 2i⅖
y = 0,4
x + 0,4 = 2,4 |-0,4
x = 2
c)
4y - x = 6
17y = 0 |:17
4*0 - x = 6
y = 0
-x = 6 |*(-1)
x = -6
d)
a = b
2a + b = 9
2a + a = 9
3a = 9 |:3
a = 3
b = 3
e)
u = 4v
5u - v = 10
5*4v - v = 10
19v = 10 |:19
v = 1,9
u = 7,6
f)
3r = s
3r + s = 24
s + s = 24
2s = 24 |:2
3r = 12 |:3
s = 12
r = 4
Zadanie 5
x + 3y = 3
x - y = 5 |+y
5 + y + 3y = 3
x = 5 + y
5 + 4y = 3 |-5
4y = -2 |:4
y = -0,5
x = 5 - 0,5
x = 4,5
2x - y = 10 |+y
x + 5y = -17
2x = 10 + y |:2
x = 5 + 0,5y
5 + 0,5y + 5y = -17
5,5y + 5 = -17 |-5
5,5y = -22 |:5,5
x = 5 + 0,5*4
y = 4
x = 7
3m + n = 9 |-n
2m - 5n = -11
3m = 9 - n |:3
2m -5n = -11
m = 3 - ⅓n
2*(3 - ⅓n) - 5n = -11
6 - ⅔n - 5n = -11 |-6
-5i⅔n = -17 |*(-5i⅔)
m = 3 - ⅓ * 96i⅓
n = 96i⅓
m = 3 - 32i¹/₉
m = -29i¹/₉
4a - 2 = b
3a + 7b = 1,5
b = 4a - 2
3a + 7*(4a - 2) = 1,5
3a + 21a - 14 = 1,5 |+14
24a = 15,5 |:24
b = 4*(³¹/₄₈) - 2
a = ³¹/₄₈
b = 2i⁷/₁₂ - 2
b = ⁷/₁₂
5x = 4 - 2y
4x + y = 3 |-4x
5x = 4 - 2*(3 - 4x)
y = 3 - 4x
5x = 4 - 6 - 8x |+8x
13x = -2 |:13
x = -²/₁₃
y = 3 - 4*(-²/₁₃)
y = 3 - ⁸/₁₃
y = 2i⁵/₁₃
6x - 3y = 9 |+3y
x + 5y = -9,5
6x = 9 + 3y |:6
x = 1,5 + 0,5y
1,5 + 0,5y + 5y = -9,5
1,5 + 5,5y = -9,5 |-1,5
5,5y = -9,5 |:5,5
x = 1,5 + 0,5*(-1i⁸/₁₁)
y = -1i⁸/₁₁
x = 1,5 -¹⁹/₂₂
x = ⁷/₁₁
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Zadanie 4
a)
3x = 12 |:3
x - y = 1
x = 4
4 - y = 1 |-4
x = 4
-y = -3 |*(-1)
x = 4
y = 3
b)
5y = 2 |:5
x + y = 2i⅖
y = 0,4
x + 0,4 = 2,4 |-0,4
y = 0,4
x = 2
c)
4y - x = 6
17y = 0 |:17
4*0 - x = 6
y = 0
-x = 6 |*(-1)
y = 0
x = -6
y = 0
d)
a = b
2a + b = 9
a = b
2a + a = 9
a = b
3a = 9 |:3
a = b
a = 3
b = 3
a = 3
e)
u = 4v
5u - v = 10
u = 4v
5*4v - v = 10
u = 4v
19v = 10 |:19
u = 4v
v = 1,9
u = 7,6
v = 1,9
f)
3r = s
3r + s = 24
3r = s
s + s = 24
3r = s
2s = 24 |:2
3r = 12 |:3
s = 12
r = 4
s = 12
Zadanie 5
a)
x + 3y = 3
x - y = 5 |+y
5 + y + 3y = 3
x = 5 + y
5 + 4y = 3 |-5
x = 5 + y
4y = -2 |:4
x = 5 + y
y = -0,5
x = 5 - 0,5
y = -0,5
x = 4,5
b)
2x - y = 10 |+y
x + 5y = -17
2x = 10 + y |:2
x + 5y = -17
x = 5 + 0,5y
5 + 0,5y + 5y = -17
x = 5 + 0,5y
5,5y + 5 = -17 |-5
x = 5 + 0,5y
5,5y = -22 |:5,5
x = 5 + 0,5*4
y = 4
x = 7
y = 4
c)
3m + n = 9 |-n
2m - 5n = -11
3m = 9 - n |:3
2m -5n = -11
m = 3 - ⅓n
2*(3 - ⅓n) - 5n = -11
m = 3 - ⅓n
6 - ⅔n - 5n = -11 |-6
m = 3 - ⅓n
-5i⅔n = -17 |*(-5i⅔)
m = 3 - ⅓ * 96i⅓
n = 96i⅓
m = 3 - 32i¹/₉
n = 96i⅓
m = -29i¹/₉
n = 96i⅓
d)
4a - 2 = b
3a + 7b = 1,5
b = 4a - 2
3a + 7*(4a - 2) = 1,5
b = 4a - 2
3a + 21a - 14 = 1,5 |+14
b = 4a - 2
24a = 15,5 |:24
b = 4*(³¹/₄₈) - 2
a = ³¹/₄₈
b = 2i⁷/₁₂ - 2
a = ³¹/₄₈
b = ⁷/₁₂
a = ³¹/₄₈
e)
5x = 4 - 2y
4x + y = 3 |-4x
5x = 4 - 2*(3 - 4x)
y = 3 - 4x
5x = 4 - 6 - 8x |+8x
y = 3 - 4x
13x = -2 |:13
y = 3 - 4x
x = -²/₁₃
y = 3 - 4*(-²/₁₃)
x = -²/₁₃
y = 3 - ⁸/₁₃
x = -²/₁₃
y = 2i⁵/₁₃
f)
6x - 3y = 9 |+3y
x + 5y = -9,5
6x = 9 + 3y |:6
x + 5y = -9,5
x = 1,5 + 0,5y
1,5 + 0,5y + 5y = -9,5
x = 1,5 + 0,5y
1,5 + 5,5y = -9,5 |-1,5
x = 1,5 + 0,5y
5,5y = -9,5 |:5,5
x = 1,5 + 0,5*(-1i⁸/₁₁)
y = -1i⁸/₁₁
x = 1,5 -¹⁹/₂₂
y = -1i⁸/₁₁
x = ⁷/₁₁
y = -1i⁸/₁₁