Matematika

Pertanyaan

yg tau tolong bantuin pke cara substitusi
yg tau tolong bantuin pke cara substitusi

1 Jawaban

  • 1.) 3p = -q -10⇒ 3p + q = -10   (x3)  ⇒ 9p + 3q = -30
                               2p +3q = -16  (x1)  ⇒ 2p + 3q = -16
                                                                 ____________ _
                                                                   7p + 0 = -14
                                                                            p = -14/7
                                                                            p = -2
    2.) 5x + 2y = 6 (x3) ⇒ 15x + 6y = 18
         4x + 3y = 2 (x2) ⇒  8x  + 6y = 4
                                       ____________ _
                                         7x + 0 = 14
                                                  x = 14/7 = 2
         5x + 2y = 6
         5(2) +2y = 6
          10 + 2y = 6
                   2y = 6 - 10
                    2y = -4
                      y = -4/2 = -2
    nilai x . y = 2 x (-2) = -4

    3.) 3p + 7q = 1   (x-3)⇒ -9p -21q = -3
          2p - 3q = 16 (x7) ⇒  14p - 21q = 115
                                          ____________ _
                                            -23p + 0 = -115
                                                        p = -115/-23 = 5
            3p + 7q = 1
            3(5) + 7q = 1
             15 + 7q = 1
                      7q = 1 - 15
                      7q = -14
                        q = -14/7 = -2

     nilai pxq = 5 x (-2) = -10

    4.) 3x1 + 4y1 = 7    (x3) ⇒ 9x1 + 12y1 = 21
         -2x1 + 3y1 = -16(x4) ⇒ -8x1 + 12y1 = -64
                                              _______________ _
                                                  17x1 + 0 = 85
                                                            x1 = 85/17 = 5
          3x1 + 4y1 = 7
          3(5) + 4y1 = 7
           15 + 4y1 = 7
                    4y1 = 7 - 15
                     4y1 = -8
                       y1 = -8/4 = -2
    jadi nilai 2x1 - 7y1
                  2(5) - 7(-2)
                  = 10 + 14
                  = 24