№1.{3x + y = - 10{-3x -5y = - 20(3x + y ) + (-3x - 5y ) = -10 + (-20)(3x - 3x) + (y - 5y) = - 30- 4y = - 30 | * (-1)4у = 30y = 30 : 4у= 7,53х + 7,5 = -103х = - 10 - 7,53х = - 17,5х = -17,5 : 3 = -¹⁷⁵/₃₀ = - ³⁵/₆х = - 5 ⁵/₆ответ : ( - 5 ⁵/₆ ; 7,5){ 7x + 3y = 25{ - 21x - 3y = - 507x +3y - 21x - 3y = 25 - 50-14x = - 25 |*(-1)14x = 25x = 25 : 14 = ²⁵/₁₄х = 1 ¹¹/₁₄7 * 1 ¹¹/₁₄ + 3у = 25⁷/₁ * ²⁵/₁₄ + 3у = 25²⁵/₂ + 3у = 253у = 25 - 12,53у = 12,5у = 12,5 : 3 = ²⁵/₂ * ¹/₃ = ²⁵/₆у= 4 ¹/₆ответ : ( 1 ¹¹/₁₄ ; 4 ¹/₆ )№2.{4(х+у) - 2х - у = 12 ⇔ {4x+4y -2x -y = 12 { 2(x-y)+6x+10y = -5 ⇔ {2x-2y + 6x+10y = -5{2x + 3y = 12 ⇔ {2x+3y = 12 ⇔ {2x + 3y = 12{8x + 8y = - 5 ⇔ {8(x+y) = -5 ⇔ {x+y = - ⁵/₈ {2x + 3y = 12{x = - 0.625 - y2(-0.625 -y) + 3y = 12-1.25 - 2y + 3y = 12-1.25 + y = 12y = 12 + 1.25y = 13.25x= -0.625 - 13.25x = -13.875ответ : ( - 13,875 ; 13,25){ 1 + 2(x-y) = 3x-4y ⇔ {2x - 2y -3x + 4y = -1{10- 4(x+y) =3y-3x ⇔ {-4x - 4y - 3y + 3x = - 10{-x + 2y = - 1 ⇔ { - x = - 1 - 2y ⇔ {x = 1+2y{ -x -7y=-10 ⇔ { - x = -10 +7y ⇔ {x = 10 - 7y1 + 2y = 10 - 7y2y + 7y = 10 - 19y = 9y = 1x= 1 + 2*1 = 1 +2х = 3ответ : ( 3; 1)