Toán Lớp 6: Tìm x:
a) $\frac{x}{3}$ – $\frac{2x + 1}{2}$ = $\frac{x}{6}$ – x
b) $\frac{2 + x}{5}$ – 0,5x = $\frac{1 – 2x}{4}$ +0,25
c) $\frac{2x – 1}{4}$ + 3 = $\frac{1 – 3x}{6}$
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Toán Lớp 6: Tìm x:
a) $\frac{x}{3}$ – $\frac{2x + 1}{2}$ = $\frac{x}{6}$ – x
b) $\frac{2 + x}{5}$ – 0,5x = $\frac{1 – 2x}{4}$ +0,25
c) $\frac{2x – 1}{4}$ + 3 = $\frac{1 – 3x}{6}$
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text{Giải đáp + Lời giải và giải thích chi tiết :}
a) x/3 – (2x+1)/2 = x/6 – x
x/3 . 6 – (2x+1)/2 . 6 = x/6 . 6 – x . 6
2x – 6x – 3 = -5x
-4x – 3 = -5x
-4x = -5x + 3
-4x + -5x = -5x + 3 + -5x
=> x = 3 .
Vậy x = 3 .
b) (2+x)/5 – 0,5x = (1-2x)/4 + 0,25
(2+x)/5 . 100 – 0,5x . 100 = (1-2x)/4 . 100 + 0,25 . 100
20(x + 2) – 50x = 25(-2x + 1) + 25
-30x + 40 = -50x + 50
-30x = -50x + 50 – 40
-30x = -50x + 10
-30x + 50= -50x + 10 + 50x
20x = 10
x = 10 : 20
=> x = 1/2 .
Vậy x = 1/2 .
c) (2x-1)/4 + 3 = (1-3x)/6
(2x-1)/4 . 12 + 3 . 12 = (1-3x)/6 . 12
3(2x – 1) + 36 = 2(-3x + 1)
6x + 33 = -6x + 2
6x = -6x + 2 – 33
6x = -6x – 31
12x = -6x – 31 + 6x
12x = -31
x = 31 : 12
=> x = 31/12 .
Vậy x = 31/12 .
text{#Muối}