Verified answer

1)

[tex]3x + 2y = 7 \\ x - 2y = - 3[/tex]

Складываем

[tex]3x + x = 7 - 3 \\ 4x = 4 \\ x = 4 \div 4 \\ x = 1 \\ \\ 3 \times 1 + 2y = 7 \\ 3 + 2y = 7 \\ 2y = 7 - 3 \\ 2y = 4 \\ y = 4 \div 2 \\ y = 2[/tex]

Ответ: (1 ; 2)

2)

[tex]x - 2y = 8 \: \: | \times ( - 2)\\ 2x - 3y = 10 \\ \\ - 2x + 4y = - 16 \\ 2x - 3y = 10[/tex]

Складываем

[tex]4y - 3y = 10 - 16 \\ y = - 6 \\ \\ x - 2 \times ( - 6) = 8 \\ x + 12 = 8 \\ x = 8 - 12 \\ x = - 4[/tex]

Ответ: ( - 4 ; - 6 )