Question

Будь ласка, допоможіть розв'язати систему рівнянь

Answer 1

$\left \{ {{3(5 - 4x) - 2(5y - 7) = 23} \atop {4(3y - 2) - 2(2 + 3x) = 32}} \right. \\ \\ \left \{ {{15 - 12x - 10y + 14 = 23} \atop {12y - 8 - 4 - 6x = 32}} \right. \\ \\ \left \{ {{ - 12x - 10y = 23 - 14 - 15} \atop { - 6x + 12y = 32 + 4 + 8}} \right. \\ \\ \left \{ {{ - 12x - 10y = - 6 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \atop { - 6x + 12y = 44 \: \: | \times ( - 2)}} \right.$

$\left \{ {{ - 12x - 10y = - 6 \: \: \: \: \: } \atop {12x - 24y = - 88}} \right. + \\ - 34y = - 94 \\ y = \frac{94}{34} = 2 \frac{26}{34} = 2 \frac{13}{17} \\ \\ - 12x - 10y = - 6 \\ - 12x - 10 \times \frac{94}{34} = - 6 \\ - 12x - \frac{470}{17} = - 6 \\ \frac{ - 204x - 407}{17} = - 6 \\ - 204x - 407 = - 102$

$- 204x = 305 \\ x = 1 \frac{101}{204}$