Question

Решите уравнение:
1) 7x – 4 = x – 16
2) 13 – 5x = 8 – 2x
3) 1,3p – 11 = 0,8p + 5
4) 0,71x – 13 = 10 – 0,29x
5) 3,1(1 – 3t) + t = 0,4(t – 14)

Answer 1

$1)7x - 4 = x - 16 \\ 7x - x = - 16 + 4 \\ 6x = - 12 \\ x = - 2$

$2)13 - 5x = 8 - 2x \\ - 5x + 2x = 8 - 13 \\ - 3x = - 5 \\ \times = - \frac{5}{3}$

$3)1.3p - 11 = 0.8p + 5 \\ 1.3p - 0.8p = 5 + 11 \\ 0.5p = 16 \\ p = 32$

$4)0.71x - 13 = 10 - 0.29x \\ 0.71x + 0.29 x = 10 + 13 \\ x = 23$

$5)3.1(1 - 3t) + t = 0.4(t - 14) \\ 3.1 - 9.3t + t = 0.4t - 5.6 \\ - 8.3t - 0.4t = - 5.6 - 3.1 \\ - 8.7t = - 8.7 \\ t = 1$