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July 2022
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решить систему уравнения способом подстановки 2 (х-2у)=х-8у. 5 (х+у)=2 (х-у)+10
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Удачник66
Verified answer
{ 2(x - 2y) = x - 8y
{ 5(x + y) = 2(x - y) + 10
Раскроем скобки
{ 2x - 4y = x - 8y
{ 5x + 5y = 2x - 2y + 10
Приводим подобные
{ x = -4y
{ 3x + 7y = 10
Подставляем x во 2 уравнение
3(-4y) + 7y = -12y + 7y = -5y = 10
y = -2; x = (-4)(-2) = 8
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Answers & Comments
Verified answer
{ 2(x - 2y) = x - 8y{ 5(x + y) = 2(x - y) + 10
Раскроем скобки
{ 2x - 4y = x - 8y
{ 5x + 5y = 2x - 2y + 10
Приводим подобные
{ x = -4y
{ 3x + 7y = 10
Подставляем x во 2 уравнение
3(-4y) + 7y = -12y + 7y = -5y = 10
y = -2; x = (-4)(-2) = 8