Himpunan penyelesaian dari sistem persamaan 6u−v=1,4u−3v+4=0 adalah ….

Himpunan penyelesaian dari sistem persamaan 6u−v=1,4u−3v+4=0 adalah ….
A {−1/2, 2}
B {1/2,−2}
C {1/2, 2}
D {−1/2,−2}
E {1/3, 2/3}

jawaban untuk pertanyaan diatas adalah C {1/2, 2}

Konsep
Untuk menyelesaikan persamaan linear bisa dengan metode substitusi atau eliminasi

6u−v=1
v = 6u – 1…pers(1)

4u−3v+4=0… Pers(2)
Subtitusikan pers(1) ke pers(2)
4u-3(6u-1)+4=0
4u-18u+3+4=0
-14u+7=0
14u = 7
u = ½

Untuk u= ½, substitusikan ke pers (1)
v = 6u-1
v = 6(½)-1
v = 3-1
v = 2

Jadi jawabnya adalah C {1/2, 2}

Rekomendasi lainnya :

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