Matematika

Pertanyaan

nilai x yang memenuhi sistem persamaan 1+3x = -4y dan 9x = 2y+4 adalah
a. 1/2
b. 1/3
c. -1/3
d. -1/2

2 Jawaban

  • 1 + 3x = -4y <-----> 3x = -4y -1  (i)
    9x = 2y+ 4 ..........(ii)
    eliminasi y
    3x = -4y - 1 |*1| 3x = -4y -1
    9x = 2y+ 4 |*2| 18x = 4y + 8
                             -----------------  +
                              21 x = 7
                                   x = 7/21
                                   x = 1/3 ................(B)
  • 1+3x=-4y ⇔3x=-4y-1⇔*1⇔3x=-4y-1
                       9x=2y+4⇔*2⇔18x=4y+8
                                                    -
                                             ⇔21x=7
                                             ⇔x=7/21
                                                  =1/3(b)






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