Question

Tìm x, biết

a) | x - 5 | - 2a = 3

b) | 2x -1 | + 3x = 1

c) | x - 5 | = 3x - 2

d) |9 - 7x| = 5x - 3

Answer 1

a) |x - 5| - 2x = 3

| x - 5| = 3 + 2x

=> x - 5 = 3 + 2x hoặc x - 5 = -3 - 2x

=> -5 - 3 = 2x - x -5 + 3 = -2x - x

=> x = -8 -2 = -3x

=> x = 2/3

b) |2x - 1| + 3x = 1

|2x - 1| = 1 - 3x

=> 2x - 1 = 1 - 3x hoặc 2x - 1 = -1 + 3x

=> -1 - 1 = -3x - 2x -1 + 1 = 3x - 2x

=> -2 = -5x 0 = x

=> x = 2/5

c) | x - 5| = 3x - 2

=> x - 5 = 3x - 2 hoặc x - 5 = -3x + 2

=> -5 + 2 = 3x - x -5 - 2 = -3x - x

=> -3 = 2x -7 = -4x

=> x = -3/2 x = 7/4

d) |9 - 7x| = 5x - 3

=> 9 - 7x = 5x - 3 hoặc 9 - 7x = -5x + 3

=> 9 + 3 = 5x + 7x 9 - 3 = -5x + 7x

=> 12 = 12x 6 = 2x

=> x = 1 x = 3

Answer 2

d./9-7x/=5x-3 c./9-7x/=5x-3

\(\Rightarrow\) 9-7x=5x-3 \(\Rightarrow\)

9+3=5x+7x

12=(5+7)x

12=12x

vậy x=1