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krevetka32
@krevetka32
August 2022
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При каких значениях b система уравнений
[tex] \left \{ {{6x-4y=b,} \atop {3x-2y=5}} \right. [/tex]
a) имеет множество решений;
б) не имеет решений?
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ShirokovP
Verified answer
См правило внутри
===============================
1)
a1/a2 = b1/b2 = c1/c2
6x - 4y - b = 0
3x - 2y - 5 = 0
6/3 = - 4/-2 = - b/-5
2 = 2 = 2
Следовательно, b = 10
2)
a1/a2 = b1/b2 ≠ c1/c2
6x - 4y - b = 0
3x - 2y - 5 = 0
6/3 = - 4/ - 2 ≠ - b/-5
2 = 2 ≠ - b/-5
При b ≠ 10
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Answers & Comments
Verified answer
См правило внутри===============================
1)
a1/a2 = b1/b2 = c1/c2
6x - 4y - b = 0
3x - 2y - 5 = 0
6/3 = - 4/-2 = - b/-5
2 = 2 = 2
Следовательно, b = 10
2)
a1/a2 = b1/b2 ≠ c1/c2
6x - 4y - b = 0
3x - 2y - 5 = 0
6/3 = - 4/ - 2 ≠ - b/-5
2 = 2 ≠ - b/-5
При b ≠ 10