Diketahui sistem persamaan linear 2x-3y=4 dan 3y =-5x + 10. Nilai 19(x-y) =...
Matematika
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Pertanyaan
Diketahui sistem persamaan linear 2x-3y=4 dan 3y =-5x + 10.
Nilai 19(x-y) =...
Nilai 19(x-y) =...
1 Jawaban
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1. Jawaban indris167
* Eliminasikan pers. 1 dan 2
2x - 3y = 4
5x + 3y = 10
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻ +
7x = 14
x = 14/7
x = 2
* Substitusikan x ke dalam pers. 1 atau 2
2x - 3y = 4
2(2) - 3y = 4
4 - 3y = 4
4 - 4 = 3y
0 = 3y
y = 0
∴ 19 (x - y) = 19 (2 - 0)
= 19 (2)
= 38