a) całość w klamrze 6(x+y) = 10y { y-x = 0,5 Y=0,5+X 6(X+0,5+X)=10(0,5+X) 6X+3+6X=5+10X 12X-10X=5-3 2X=2 X=1 b) całość w klamrze 10(y+2)+3(x-5)= x-5 { 25(y + 2) + 3(x-5) = -10 10Y+20+3X-15=X-5 25Y+50+3X-15=-10 25Y+3X=-45 10Y+2X=-5-5 10Y+2X=-10/:2 25Y+3X=-45 25Y+3X=-45 5Y+X=-5 X=-5-5Y 25Y+3(-5-5Y)=-45 25Y-15-15Y=-45 X=-5-5Y 10Y=30 X=-5-5Y Y=3 X=-5-5*3 X=-20 c) całość w klamrze 2(2x-y) + 3(x+3y) = 42 { 5(x+3y) -8(2x-y) = -32 4X-2Y+3X+9Y=42 5X+15Y-16X+8Y=-32 7X+7Y=42 -11X+23Y=-32 7(X+Y)=42/:7 -11X+23Y=-32 6-X=Y -11X+23(6-X)=-32 6-X=Y -11X+138-23X=-32 6-X=Y -34X=-170 X=5 Y=6-5 Y=1
a) 6(x+y) = 10y y-x = 0,5 6x+6y=10y y=0,5+x 6x=-4y y=0,5+x 6x=-4(0,5+x) 6x=-2-2x 8x=-2 x=-0,25 y=0,5+(-0,25) y=0,25 b) 10(y+2)+3(x-5)= x-5 25(y + 2) + 3(x-5) = -10 10y+20+3x-15=x-5 25y+50+3x-15=-10 2x+10y=-10|:2 3x+25y=-45 x+5y=-5 3x+25y=-45 x=-5-5y 3(-5-5y)+25y=-45 -15-15y+25y=-45 10y=-30 y=-3 x=-5-5*(-3) x=-5+15 x=10 c) 2(2x-y) + 3(x+3y) = 42 5(x+3y) -8(2x-y) = -32 4x-2y+3x+9y=42 5x+15y-16x+8y=-32 7x+7y=42|:7 -11x+23y=-32 x+y=6 -11x+23y=-32 y=6-x -11x+23(6-x)=-32 -11x+138-23x=-32 -34x=-170 x=5 y=6-5 y=1
a) 6(x+y)=10y y-x=0,5 6x+6y=10y y=0,5+x 6x=10y-6y y=0,5+x 6x=4y y=0,5+x 6x=4*(0,5+x) y=0,5+x 6x=2+x y=0,5+x 5x=2 y=0,5+x x=0,4 y=0,5+0,4 x=0,4 y=0,9 b) 10(y+2)+3(x-5)= x-5 25(y + 2) + 3(x-5) = -10 10y+20+3x-15=x-5 25y+50+3x-15=-10 10y=x-5-3x-20+15 3x=-10-25y-50+15 10y=2x-10 3x=-25y-45 2x=10y+10 3x=-25y-45 x=5y+5 3*(5y+5)=-25y-45 x=5y+5 15y+15=-25y-45 x=5y+5 40y=-60 x=5y+5 y=1,5 y=1,5 x=5*1,5+5 x=12,5 y=1,5 Sry... tylko 2 przykłady ;]
