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DIanaG20049
@DIanaG20049
August 2022
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Помогите решить систему:
8*(x+y)-12y=6
6*(3x-y)+18x=13
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zhenyaM2002
Verified answer
{ 8(x+y) - 12y = 6
{ 6(3x - y) + 18x = 13
{ 8x + 8y - 12y = 6
{ 18x - 6y + 18x = 13
{ 8x - 4y = 6 |× 3
{ 36x - 6y = 13 | ×(-2)
{ 24x - 12y = 18
{ - 72x + 12y = - 26
Метод сложения:
24х - 12у + ( -72х + 12у) = 18 + (-26)
- 48х = -8 | ÷ ( - 8)
6x = 1
x = ¹/₆
24 * ¹/₆ - 12y = 18
4 - 12y = 18
- 12y = 18 - 4
- 12y = 14 |÷2
- 6y = 7
y = 7 : ( - 6)
у = - 1 ¹/₆
ответ : ( ¹/₆ ; - 1 ¹/₆ ) .
8 votes
Thanks 6
DIanaG20049
Спасибо большое :)
zhenyaM2002
Всегда пожалуйста)
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Answers & Comments
Verified answer
{ 8(x+y) - 12y = 6{ 6(3x - y) + 18x = 13
{ 8x + 8y - 12y = 6
{ 18x - 6y + 18x = 13
{ 8x - 4y = 6 |× 3
{ 36x - 6y = 13 | ×(-2)
{ 24x - 12y = 18
{ - 72x + 12y = - 26
Метод сложения:
24х - 12у + ( -72х + 12у) = 18 + (-26)
- 48х = -8 | ÷ ( - 8)
6x = 1
x = ¹/₆
24 * ¹/₆ - 12y = 18
4 - 12y = 18
- 12y = 18 - 4
- 12y = 14 |÷2
- 6y = 7
y = 7 : ( - 6)
у = - 1 ¹/₆
ответ : ( ¹/₆ ; - 1 ¹/₆ ) .