Verified answer

[tex]4x - 5y = - 89 \\ 2x + y = 29 \: \: \: | \times ( -2 ) \\ \\ 4x - 5y = - 89 \\ - 4x - 2y = - 58 \\ \\ - 5y - 2y = - 89 - 58 \\ - 7y = - 147 \\ 7y = 147 \\ y = 147 \div 7 \\ y = 21 \\ \\ 4x - 5 \times 21 = - 89 \\ 4x - 105 = - 89 \\ 4x = - 89 + 105 \\ 4x = 16 \\ x = 16 \div 4 \\ x = 4 [/tex]

Ответ: (4;21)