From third equation count y: 2 y + 3 z = − 5 2 y = − 5 − 3 z / : 2 y = 2 − 5 − 3 z From first equation count x: 4 x − y + 2 z = − 6 4 x = − 6 − 2 z + y / : 4 x = 4 − 6 − 2 z + y Substitute "y", which is counted from third equation: x = 4 − 6 − 2 z + 2 − 5 − 3 z = 4 − 2 12 − 2 4 z + 2 − 5 − 3 z = 8 − 12 − 4 z − 5 − 3 z = 8 − 7 z − 17 So now you've got: y = 2 − 5 − 3 z x = 8 − z − 7 Substitute this to second equation: − 2 ⋅ 8 − 7 z − 17 + 3 ⋅ 2 − 5 − 3 z − z = 8 4 7 z + 17 + 2 − 15 − 9 z − z = 8 / ⋅ 4 7 z + 17 − 30 − 18 z − 4 z = 32 − 15 z − 13 = 32 − 15 z = 45 / : ( − 15 ) z = − 3 x = 8 3 − 7 = 8 4 = 2 1 y = 2 − 5 + 9 = 2 4 = 2 So the solution is: ⎩ ⎨ ⎧ x = 2 1 y = 2 z = − 3
The solutions to the system of equations are x = 1/2, y = 2, and z = -3. This was achieved through substitution and elimination methods. The steps included isolating variables and substituting back into the equations to find the values of x, y, and z.
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Jawaban:Golongan darah Jenderal Soedirman adalah O.Beliau dikenal sebagai panglima besar yang sangat tangguh, bahkan tetap memimpin perang gerilya meskipun sedang sakit paru-paru.