diketahui 2x+2y-3z=-4 2x-y+z=3 3x+y+z=10 berapakah nilai x y dan z
Matematika
simad86
Pertanyaan
diketahui 2x+2y-3z=-4 2x-y+z=3 3x+y+z=10 berapakah nilai x y dan z
1 Jawaban
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1. Jawaban LouiseTantri2008
2x-y+z = 3
3x+y+z = 10
_________ _
-x-2y = -7
-2y+7 = x
2x+2y-3z = -4 |×1|
2x-y+z = 3 |×3|
menjadi
2x+2y-3z = -4
6x-3y+3z = 9
__________ +
8x-y = 5
8(-2y+7)-y = 5
-16y+56-y = 5
-17y = 5-56
-17y = -51
y = 3
x = -2y+7
x = -2(3)+7
x = -6+7 = 1
2x-y+z=3
2(1)-(3)+z = 3
2-3+z = 3
-1+z = 3
z = 4
x = 1
y = 3
z = 4
semoga membantu yaa:)