Odpowiedź:
zad. 4.
a) (x + y) + (x - 4) - (5 - y) =
x + y + x - 4 - 5 + y =
2x + 2y - 9 =
2 * 2 + 2 * (-3) - 9 =
4 - 6 - 9 = - 11
b) - (2x + y) - (3 - x) + (2y - 5) =
-2x - y - 3 + x + 2y - 5 =
- x + y - 8 =
- 2 + (-3) - 8 =
- 10 - 3 = - 13
c) (3x - y + 1 ) - (x + y) + (y - x) =
3x - y + 1 - x - y + y - x =
x - y + 1 =
2 -(-3) + 1 = 2 + 3 + 1 = 6
d) - (2x^2 - 3xy) - (2y - 3x^2) + (-xy - y) =
- 2x^2 + 3xy - 2y + 3x^2 - xy - y =
x^2 + 2xy - 3y =
2^2 + 2*2*(-3) - 3*(-3) =
4 + (-12) - (-9) =
4 - 12 + 9 = 1
x=2
y= -3
a) (x+y) +(x-4)-(5-y)=x+y +x -4 -5 +y= 2x +2y -9= 2*2+ 2*(-3) -9= 4-6-9= -11
b) - (2x +y) -(3 -x) +( 2y-5)= -2x -y-3 +x+2y -5= -x +y -8= -2 +(-3) -8= -2-3-8= -13
c) (3x-y +1) -( x+y)+( y-x)= 3x-y +1 -x -y +y-x=x -y+1= 2 -(-3)+1= 2+3+1= 6
d) -(2x²-3xy) -( 2y -3x²) + (-xy -y)= -( 2*4-3xy) -( 2y- 3*4)+( -xy-y)=
=-8 + 3xy-2y+ 3*4-xy-y= - 8 +6*(-3) -2*(-3) +12 -2*(-3)- (-3)=
=-8 -18+6+12+6+3= 27- 26= 1
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Odpowiedź:
zad. 4.
a) (x + y) + (x - 4) - (5 - y) =
x + y + x - 4 - 5 + y =
2x + 2y - 9 =
2 * 2 + 2 * (-3) - 9 =
4 - 6 - 9 = - 11
b) - (2x + y) - (3 - x) + (2y - 5) =
-2x - y - 3 + x + 2y - 5 =
- x + y - 8 =
- 2 + (-3) - 8 =
- 10 - 3 = - 13
c) (3x - y + 1 ) - (x + y) + (y - x) =
3x - y + 1 - x - y + y - x =
x - y + 1 =
2 -(-3) + 1 = 2 + 3 + 1 = 6
d) - (2x^2 - 3xy) - (2y - 3x^2) + (-xy - y) =
- 2x^2 + 3xy - 2y + 3x^2 - xy - y =
x^2 + 2xy - 3y =
2^2 + 2*2*(-3) - 3*(-3) =
4 + (-12) - (-9) =
4 - 12 + 9 = 1
Odpowiedź:
x=2
y= -3
a) (x+y) +(x-4)-(5-y)=x+y +x -4 -5 +y= 2x +2y -9= 2*2+ 2*(-3) -9= 4-6-9= -11
b) - (2x +y) -(3 -x) +( 2y-5)= -2x -y-3 +x+2y -5= -x +y -8= -2 +(-3) -8= -2-3-8= -13
c) (3x-y +1) -( x+y)+( y-x)= 3x-y +1 -x -y +y-x=x -y+1= 2 -(-3)+1= 2+3+1= 6
d) -(2x²-3xy) -( 2y -3x²) + (-xy -y)= -( 2*4-3xy) -( 2y- 3*4)+( -xy-y)=
=-8 + 3xy-2y+ 3*4-xy-y= - 8 +6*(-3) -2*(-3) +12 -2*(-3)- (-3)=
=-8 -18+6+12+6+3= 27- 26= 1
Szczegółowe wyjaśnienie: