Question

Matematyka !!! Prosze o pomoc!
zadanie 1. Rozwiąż równania
a) 3/4x - (x-4) = 2/3 (x - 2) - x-1/6
b)- 2x (x-4) + (4-3x)(kwadrat) = - (4-3x) (4+3x) - 2x(x+8) + 32

zadanie 2 . Rozwiąż układ równań.
{2(x+y) - (x-y) = 4
{3 (x-2y) + 4(x+y) = 5
Z góry dziękuję ;)

Answer 1

3/4x-(x-4)=2/3(x-2)-x-1/6
3/4-x+4=2/3x-4/3-x-1/6
3/4+4+4/3+1/6=2/3x-x+x
2/3x=9/12+4+1+2/12
2/3x=5 11/12
x=55/12×3/2
x=55/8
x=6 7/8

Answer 2

Zad.1
a) 3/4x-(x-4)=2/3(x-2)-x-1/6
3/4x-x+4=2/3x-4/3-x-1/6
3/4x-x-2/3x+x=-4/3-1/6-4
9/12x-8/12x=-8/6-1/6-24/6
1/12x=-33/6  /:1/12
x=-33/6*12/1
x=-66

b) -2x(x-4)+(4-3x)²=-(4-3x)(4+3x)-2x(x+8)+32
-2x²+8+(16-24x+9x²)=-(16-9x²)-2x²-16x+32
-2x²+8+16-24x+9x²=-16+9x²-2x²-16x+32
-2x²+9x²-9x²+2x²-24x+16x=-16+32-8-16
-8x=-8  /:(-8)
x=1

zad.2
{2(x+y)-(x-y)=4
{3(x-2y)+4(x+y)=5

{2x+2y-x+y=4
{3x-6y+4x+4y=5

{x+3y=4
{7x-2y=5

{x=4-3y
{7x-2y=5

{x=4-3y
{7(4-3y)-2y=5

{x=4-3y
{28-21y-2y=5

{x=4-3y
{-21y-2y=5-28

{x=4-3y
{-23y=-23 /:(-23)

{x=4-3y
{y=1

{x=4-3*1
{y=1

{x=1
{y=1