2х + 3у = 6
3х - у = 9
3у = - 2х + 6
у = 3х - 9
у = - 2/3 х + 2
Ответ: ( 3 ; 0 )
[tex]4x + 5y = 1 \\8 x - 2y = 38 \\ \\4x + 5(4x - 19) = 1 \\ y = 4x - 19 \\ \\ 4x + 20x - 95 = 1 \\ 24x = 1 + 95 \\ 24x = 96 \\ x = 96 \div 24 \\ x = 4 \\ \\ y = 4 \times 4 - 19 = 16 - 19 = - 3[/tex]
Ответ: ( 4 ; - 3 )
[tex]4x - y = 29 \\ 7x + 2y = 2 \\ \\ y = 4x - 29 \\ 7x + 2(4x - 29) = 2 \\ \\ 7x + 8x - 58 = 2 \\ 15x = 2 + 58 \\ 15x = 60 \\ x = 60 \div 15 \\ x = 4 \\ \\ y = 4 \times 4 - 9 = 16 - 29 = - 13[/tex]
Ответ: ( 4 ; - 13 )
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Answers & Comments
1)
2х + 3у = 6
3х - у = 9
3у = - 2х + 6
у = 3х - 9
у = - 2/3 х + 2
у = 3х - 9
Ответ: ( 3 ; 0 )
2)
[tex]4x + 5y = 1 \\8 x - 2y = 38 \\ \\4x + 5(4x - 19) = 1 \\ y = 4x - 19 \\ \\ 4x + 20x - 95 = 1 \\ 24x = 1 + 95 \\ 24x = 96 \\ x = 96 \div 24 \\ x = 4 \\ \\ y = 4 \times 4 - 19 = 16 - 19 = - 3[/tex]
Ответ: ( 4 ; - 3 )
4)
[tex]4x - y = 29 \\ 7x + 2y = 2 \\ \\ y = 4x - 29 \\ 7x + 2(4x - 29) = 2 \\ \\ 7x + 8x - 58 = 2 \\ 15x = 2 + 58 \\ 15x = 60 \\ x = 60 \div 15 \\ x = 4 \\ \\ y = 4 \times 4 - 9 = 16 - 29 = - 13[/tex]
Ответ: ( 4 ; - 13 )