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Emilliano1
@Emilliano1
July 2022
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Regent1828
Verified answer
1).
{ 10x + 5y = 25 (1)
{ 3x - 5y = 1 (2)
Сложим (1) и (2)
13х = 26
х = 2 3х - 5у = 1
6 - 1 = 5у
5y = 5
у = 1
Ответ: {2; 1}
2)
{ 2x + 5y = 2,5 | *2
{ 4x + 3y = 15
{ 4x + 10y = 5 (1)
{ 4x + 3y = 15 (2)
Вычтем из (1) (2):
7y = -10
y = -1 3/7 4x + 3*(-10/7) = 15
4x = 15 + 30/7
x = 135/28
x = 4 23/28
Проверим:
2x + 5y = 2,5
2*(135/28) + 5*(-20/14) = 2,5
135/14 - 100/14 = 2,5
35/14 = 2,5
2 7/14 = 2,5
2,5 = 2,5
Ответ: {4 23/28; -1 3/7}
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Answers & Comments
Verified answer
1).{ 10x + 5y = 25 (1)
{ 3x - 5y = 1 (2)
Сложим (1) и (2)
13х = 26
х = 2 3х - 5у = 1
6 - 1 = 5у
5y = 5
у = 1
Ответ: {2; 1}
2)
{ 2x + 5y = 2,5 | *2
{ 4x + 3y = 15
{ 4x + 10y = 5 (1)
{ 4x + 3y = 15 (2)
Вычтем из (1) (2):
7y = -10
y = -1 3/7 4x + 3*(-10/7) = 15
4x = 15 + 30/7
x = 135/28
x = 4 23/28
Проверим:
2x + 5y = 2,5
2*(135/28) + 5*(-20/14) = 2,5
135/14 - 100/14 = 2,5
35/14 = 2,5
2 7/14 = 2,5
2,5 = 2,5
Ответ: {4 23/28; -1 3/7}