А( 5 ; - 3 ) и В ( 8 ; 3 )
[tex]\displaystyle\bf\\ ax + by = 13\\ + \left \{ {{5a - 3b = 13} \atop {8a+ 3b = 13 }} \right. \\ \\ 5a + 8a = 13 + 13 \\ 1 3a= 26 \\ a= 26 \div 13 \\ a = 2 \\ \\ 8 \times 2 + 3b = 13 \\ 16 + 3b = 13 \\ 3b = 13 - 16 \\ 3b = - 3 \\ b = - 3 \div 3 \\ b = - 1[/tex]
Ответ: a = 2 ; b = - 1
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А( 5 ; - 3 ) и В ( 8 ; 3 )
[tex]\displaystyle\bf\\ ax + by = 13\\ + \left \{ {{5a - 3b = 13} \atop {8a+ 3b = 13 }} \right. \\ \\ 5a + 8a = 13 + 13 \\ 1 3a= 26 \\ a= 26 \div 13 \\ a = 2 \\ \\ 8 \times 2 + 3b = 13 \\ 16 + 3b = 13 \\ 3b = 13 - 16 \\ 3b = - 3 \\ b = - 3 \div 3 \\ b = - 1[/tex]
Ответ: a = 2 ; b = - 1