Ответ:
Объяснение:
{5x + y = 17+ {3x - y = 7----------------------- 8x = 24 x = 24/8 x = 3 из 1-ого ур-я:y = 17 - 5x = 17 -5*3 = 17-15 = 2(x; y) = (3; 2)
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{2x - y = 7- {2x - 3y = 1------------------------- -y - (-3y) = 6 -y + 3y = 6 2y = 6 y = 6/2 = 3Из 2-ого ур-я:2х = 1 + 3у = 1 + 3*3 = 10 х = 10/2 = 5х = 5; у = 3
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{3x - y = 5 | * 7 {2x + 7y = 34
{21x - 7y =35+ {2x + 7y = 34---------------------- 23x = 69 x = 69/23 x = 3 7y = 34 - 2x = 34 - 2*3 = 34 - 6 = 28 y = 28/7 = 4 (x; y) = (3; 4)
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{2x - 5y = - 7 {5x - y = 9 | * 5
{2x - 5y = - 7 - {25x - 5y = 45-------------------------2x - 25x = -7 - 45 -23x = -52 x = 52/23 Из 2-ого ур-я: у = 5х - 9 = 5 * ⁵²/₂₃ - 9 = (260-9*23)/23 = (260 - 207)/23 = 53/23(х; у) = (52/23; 53/23)
Решение на прикреплённой фотографии
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Answers & Comments
Ответ:
Объяснение:
{5x + y = 17
+ {3x - y = 7
-----------------------
8x = 24
x = 24/8
x = 3
из 1-ого ур-я:
y = 17 - 5x = 17 -5*3 = 17-15 = 2
(x; y) = (3; 2)
___________________________
{2x - y = 7
- {2x - 3y = 1
-------------------------
-y - (-3y) = 6
-y + 3y = 6
2y = 6
y = 6/2 = 3
Из 2-ого ур-я:
2х = 1 + 3у = 1 + 3*3 = 10
х = 10/2 = 5
х = 5; у = 3
_______________________
{3x - y = 5 | * 7
{2x + 7y = 34
{21x - 7y =35
+ {2x + 7y = 34
----------------------
23x = 69
x = 69/23
x = 3
7y = 34 - 2x = 34 - 2*3 = 34 - 6 = 28
y = 28/7 = 4
(x; y) = (3; 4)
_______________________________
{2x - 5y = - 7
{5x - y = 9 | * 5
{2x - 5y = - 7
- {25x - 5y = 45
-------------------------
2x - 25x = -7 - 45
-23x = -52
x = 52/23
Из 2-ого ур-я:
у = 5х - 9 = 5 * ⁵²/₂₃ - 9 = (260-9*23)/23 = (260 - 207)/23 = 53/23
(х; у) = (52/23; 53/23)
Решение на прикреплённой фотографии