Решить уравнения (пошагово). Created by Ulianalox. matematika-ru

Решить уравнения (пошагово)...

Ulianalox @Ulianalox

June 2022 1 11 Report

Решить уравнения (пошагово)

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zhenyaM2002

Verified answer

A)
- 0.6x = 1.8x - 9.6 | * 10
- 6x = 18x - 96 | :6
- х = 3х - 16
- х - 3х = - 16
-4х = - 16
x= -16 / (-4)
x= 4
===========================
- 0.6 * 4 = 1.8 * 4 - 9.6
-2.4 = 7.2 - 9.6
-2.4= -(9.6 - 7.2)
-2.4= -2.4
Ответ : х = 4.

¹/₂ * у + ¹/₆ *у + 9 = -у |*6
¹/₂ * 6 *y + ¹/₆ * 6 *y + 9*6 = - 6y
⁶/₂ * y + ⁶/₆ * y + 54 = - 6y
3y + y + 54 = -6y
4y + 54 = -6y
4y + 6y = - 54
10y = -54
y = -54/10
y = - 5.4
========================
¹/₂ * (-5.4) + ¹/₆ * (-5.4) + 9 = - (- 5.4)
-2.7 + (-0.9) + 9 = 5.4
-3.6 + 9.0 = 5.4
5.4 = 5.4
Ответ: у = - 5,4 .

2(4 - 1,9z) = 0.8 - 0.2z |*5
5*2 (4-1.9z) = 4 - 1*z
10 *(4 - 1.9z) = 4 - z
40 - 19z = 4 -z
-19z + z = 4 - 40
-18z = - 36
z= (-36) / (-18)
z= 2
=========================
2*(4 - 1.9 * 2) = 0.8 - 0.2 * 2
2 * ( 4.0 - 3.8) = 0.8 - 0.4
2 * 0.2 = 0.4
0.4=0.4
Ответ: z = 2 .

1¹/₈ c - ¹/₈ = ³/₄ c - 12.5
⁹/₈ c - ¹/₈ = ³/₄ c -   ²⁵/₂ |*8
9c - 1 = 6c - 100
9c -6c = -100 +1
3c = -99
x= -99/3
c= -33
===============================
1¹/₈ * (-33) - ¹/₈ = ³/₄ * (-33) - 12.5
- ⁽⁹*³³⁾ / ₈ - ¹/₈ = - ⁽³*³³⁾/₄ - 12.5
- ²⁹⁸/₈ = - 24.75 - 12.5
- ¹⁴⁹/₄ = - (24.75 +12.5)
-37.25 = 37.25
Ответ : с = - 33.

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