a) 6(x + y) = 10y y - x = 0,5 6x + 6y = 10y | -6y y - x = O,5 | + x 6x = 4y y = 0,5 + x 6x = 4 (0,5 + x) y = 0,5 + x 6x = 2 + 4x | -4x y = 0,5 + x 2x = 2 | :2 y = 0,5 + x x = 1 y = 0,5 + 1 x = 1 y = 1,5
a {6(x+y)=10y {y-x=0,5 [6x+6y=10y [-x+y=0,5 {6x+6y-10y=0 {-x+y=0,5 [6x-4y=0 [-x+y=0,5/*6 {6x-4y=0 {-6x+6y=3 ~~~~~~~~~~ _____2y=3/:2 _____y=1,5 6x-4y=0 6x-4*1,5=0 6x-6=0 6x=6/:6 x=1 {x=1 {y=1,5 b {y-8x=0,8y {4x+5y=5,1 [-8x+y-0,8y=0 [4x+5y=5,1 {-8x+0,2y=0 {4x+5y=5,1/*2 [-8x+0,2y=0 [8x+10y=10,2 ````````````` ____10,2y=10,2/:10,2 _______y=1 -8x+0,2y=0 -8x+0,2*1=0 -8x+0,2=0 -8x=-0,2/:(-8) __x=0,025 c {2y+5x=6x {3y+4x=7 ¾______7 ³/₄mozna zapisac ³¹/₄ to 7,75 [5x-6x+2y=0 [4x+3y=7,75 {-x+2y=0/*4 {4x+3y=7,75 [-4x+8y=0 [4x+3y=7,75 ````````````` _____11y=7,75/:11 ______y≈1,409 -x+2y=0 -x+2*1,409=0 -x+2,818=0 -x=-2,818/:(-1) x=2,818 d {1,5y-6x=4,5y {4y+9x=11⅔ [-6x+1,5y-4,5y=0 [9x+4y=³⁵/₃ {-6x-3y=0/*3 {9x+4y=11,666/*2 [-18x-9y=0 [18x+8y=23,332 ```````````````` ____-y=23,332/8(-1) _____y=-23,332 -6x-3y=0 -6x-3*(-23,332)=0 -6x+69,996=0 -6x=-69,996/:(-6) __x≈11,666
