bantu ya kak besok dikumpulin
Matematika
saputri28
Pertanyaan
bantu ya kak besok dikumpulin
1 Jawaban
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1. Jawaban Ratar22
1. 2x + y = 8 |2| 4x + 2y = 16
x - 2y = 4 |1| x - 2y = 4
----------------- (+)
5x = 20
x = 4
2. x + y + z = -6
x - 2y + z = 3
-2x + y + z = 9
(i)x + y + z = -6 (ii)x + y + z = -6 -----> x + z = -8 (iii)x + y + z = -6
x - 2y + z = 3 -2x + y + z = 9 -----> -2x + z = 7 -5 + (-3) + z = -6
------------------ (-) --------------- (-) z = 14
3y = -9 3x = -15
y = -3 x = -5
3. 1/x = a, 1/y = b
(i)4a + 5b = 1 |2| 8a + 10b = 2 (ii)4(1/2) + 5b = 1
6a - 10b = 5 |1| 6a - 10b = 5 2 + 5b = 1
----------------- (+) 5b = -1
14a = 7 b = -1/5
a = 1/2 1/y = -1/5
1/x = 1/2 y = -5
x = 2
4. 5x - y + 2z = 25
3x + 2y - 3z = 16
2x - y + z = 9
(i)5x - y + 2z = 25 |2| 10x - 2y + 4z = 50 (ii)5x - y + 2z = 25
3x + 2y - 3z = 16|1| 3x + 2y - 3z = 16 2x - y + z = 9
------------------------ (+) --------------------- (-)
13x + z = 66 3x + z = 16
(iii)13x + z = 66 (iv)3x + z = 16 (v)2x - y + z = 9
3x + z = 16 3(5) + z = 16 2(5) - y + 1 = 9
---------------- (-) 15 + z = 16 10 - y + 1 = 9
10x = 50 z = 1 - y = -2
x = 5 y = 2