Question

Tentukan nilai t yg memenuhi prbandingan senilai brikut ini!

a.(t-3):(t-2)=2:3
b.6:(t+3)=4:(t-2)
c.(t-2):(t+2)=1:3
d.t:(t+1)=(t-1):(t-4)
e.(3t-t):3t=(t-3):(t+3)

Answer 1

A) (t - 3) : (t - 2) = 2 : 3
3(t - 3) = 2(t - 2)
3t - 9 = 2t - 4
t = 5

b) 6(t - 2) = 4(t + 3)
6t - 12 = 4t + 12
2t = 24
t = 12

c) 3(t - 2) = 1(t + 2)
3t - 6 = t + 2
2t = 8
t = 4

d) t(t - 4) = (t - 1)(t + 1)
t² - 4t = t² - 1
- 4t = - 1
t = 1/4

e) (t + 3)(3t - 1) = 3t(t - 3)
3t² - t + 9t - 3 = 3t² - 9t
- 8t - 3 = - 9t
t = 3

Answer 2

Kalikan silang

a. 3(t-3) = 2(t-2)
     3t-9 = 2t-4
           t = 5  --> subtitusikan ke dalam soal jika ingin menguji kebenarannya

b. 6 (t-2) = 4 (t+3)
     6t -12 = 4t + 12
           2t = 24
             t =12

c. 3(t-2) = (t+2)
      3t - 6 = t+2
           2t = 8
             t = 4

d. t (t-4) = (t-1)(t+1)
       t²-4t = t²-1
       -4t = -1
          t = 1/4 

e. (t+3)(3t-t)=3t (t-3)
     3t²-t²+9t-3t=3t²-9t
            2t²+6t =3t²-9t
              -2t + 6 = 3t -9
                    -5t = -15  
                      t=3