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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 7: a+2/b+3=a-2/b-3. Chứng minh rằng a/b=2/3

Toán Lớp 7: a+2/b+3=a-2/b-3. Chứng minh rằng a/b=2/3

Comments ( 1 )

  1. Giải đáp:
     
      $\frac{a+2}{b+3}$ = $\frac{a-2}{b-3}$ 
        (a+2)(b-3)  = (a-2)(b+3)
      ab-3a+2b-5 =  ab+3a-2b-5
      ab-3a+2b-5 – ab-3a+2b+5=0
      (ab-ab) + (-3a-3a) +(2b+2b)+(-5+5) = 0
               -6a + 4b   = 0
               -2( 3a-2b) =0
                    3a-2b   =0
                        3a  = 2b
              ⇒ $\frac{a}{b}$ = $\frac{2}{3}$ (đpcm)

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222-9+11+12:2*14+14 = ? ( )