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2x -2 - 5 = 6x - 9 - 8x
2x - 6x + 8x = -9 + 2 + 5
4x = - 2 ( dzielę obie strony przez 4)
x= - = - 0,5
Spr.
L=2(x-1)-5= 2 ( - 0,5 - 1) - 5 = 2 * (- 1,5) - 5 = - 3 - 5 = - 8
P =3(2x-3)-8x = 3 [2*( - 0,5) -3) - 8 *(-0,5) = 3 *[ (-1) - 3] - 8 * ( -0,5) =
3 * (-4)+ 4 = -12 + 4 = - 8
L=P
12x-(2x+1)=9(2-x)
12x - 2x - 1 = 18 - 9 x
12x - 2x + 9x = 18 + 1
19 z = 19
x = 1
Spr.
L =12x-(2x+1)= 12 * 1 - (2 * 1 + 1) = 12 - 3 = 9
P =9(2-x) = 9 ( 2 - 1 ) = 9 * 1=9
L= P
3(x+1)-4=2(x-2)+2x
3x + 3 - 4 = 2x - 4 + 2x
3x - 2x - 2x = - 4 - 3 + 4
-x = - 3 ( obie strony mnożę przez (-1)
x= 3
Spr.
L=3(x+1)-4=3 ( 3 + 1) - 4 = 3 * 4 - 4= 12 - 4 = 8
P= 2(x-2)+2x = 2 ( 3 -2) + 2 * 3= 2 *1 + 6 = 2 + 6 = 8
L=P
Rozwiąż i sprawdź równania.
x-2(x+1)+3(x+2)=0
x - 2x - 2 + 3x + 6 = 0
4x - 2x = 2 - 6
2x = - 4
x = -2
Spr.
L=x-2(x+1)+3(x+2)= - 2 - 2[ ( -2) + 1] + 3[ ( -2 ) + 2] =- - 2 ( -2) * ( -1) + 3 * 0=
- 2 + 2 + 0 = 0 + 0 = 0
L=P
x(6-x)+x(x+2)=4
6x - x² + x² + 2x = 4
8x = 4
x 0,5
Spr.
L= x(6-x)+x(x+2)= 0,5 * ( 6 - 0,5 ) + 0,5 ( 0,5 + 2) = 0,5 * 5,5 + 0,5 * 2,5=
2,75 + 1,25 = 4
L= P
x(x+3)-(x-2)=x(x-4)+8
x² + 3x - x + 2 = x² - 4x + 8
x² - x² + 3x - x + 4x = 8 - 2
6x = 6
x = 1
Spr
L= x(x+3)-(x-2)= 1* ( 1 + 3) - ( 1 - 2) = 4 + 1 = 5
P=x(x-4)+8 = 1 ( 1 - 4) + 8 = - 3 + 8 = 5
L=P
2x(x+4)-2(x²-2)-6=14
2x² + 8 x - 2x ²+ 4 - 6 = 14
8x = 14 - 4 + 6
8x = 16
x = 2
Spr.
L=2x(x+4)-2(x²-2)-6= 2*2 ( 2 + 4) - 2 ( 2² - 2 ) - 6 = 4 * 6 - 2 *2 - 6 = 24 - 4 - 6 = 14
L= P
- = 1 ( obie strony mnożę przez 6 )
2(x+1) - 3 ( x + 2) = 6
2x + 2 - 3x -6 = 6
-x = 6 + 6 - 2
- x = 10
x = -10
Spr.
=
=
= -3 - (-4) = -3 + 4 = 1
L=P
2x-3
------ -x=x+2 ( obies strony mnożę przez 2)
2
2x- 3 - 2x = 2x + 4
2x - 2x - 2x = 4 + 3
- 2x = 7
x = - - 3,5
Spr.
2x-3
L =------ -x= - ( -3,5) =
2
+ 3,5= - 5 + 3,5 = - 1,5
P =x+2 = -3,5 + 2 = - 1,5
L=P