Question

Решите уравнения 1) 7+4|x-1|=9|x-1|-8 2) 5|x+4|-6=3|x+4|+8

Answer 1

1)

$7 + 4 |x - 1| = 9 |x - 1| - 8 \\ 4 |x - 1| - 9 |x - 1| = - 8 - 7 \\ - 5 |x - 1| = - 15 \\ |x - 1| = 3 \\ x - 1 = 3 \\ x = 4 \\ x - 1 = - 3 \\ x = - 2$

2)

$5 |x + 4| - 6 = 3 |x + 4| + 8 \\ 5 |x + 4| - 3 \times |x + 4| = 8 + 6 \\ 2 |x + 4| = 14 \\ |x + 4| = 7 \\ x + 4 = 7 \\ x = 3 \\ x + 4 = - 7 \\ x = - 11$