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LÖSNINGAR DEL B<br />
5425<br />
⎧4x−<br />
y 4x−6y ⎪ + = 1 ( flytta om)<br />
⎨ 10 15<br />
⎪ 2 2<br />
⎩(<br />
x+ 6) −(9 − y) = ( x+ y)( x− y)<br />
+ 27<br />
⎧4x−<br />
y 4x−6y ⎪ + − 1= 0 ( mult 30)<br />
⎨ 10 15<br />
⎪ 2 2<br />
⎩(<br />
x+ 6) −(9 − y) − ( x+ y)( x− y)<br />
− 27 = 0<br />
⎧ 4x− y 4x−6y ⎪30⋅<br />
+ 30⋅ −30⋅ 1 = 0<br />
⎨ 10 15<br />
⎪ 2 2<br />
⎩(<br />
x+ 6) −(9 − y) − ( x+ y)( x− y)<br />
− 27 = 0<br />
⎧3(4<br />
x− y) + 2(4x−6 y)<br />
−30<br />
= 0<br />
⎨ 2 2<br />
⎩(<br />
x+ 6) −(9 − y) − ( x+ y)( x− y)<br />
− 27 = 0<br />
⎧(12x−<br />
3 y) + (8x−12 y)<br />
− 30 = 0<br />
⎨ 2 2 2 2<br />
⎩(<br />
x + 12x+ 36) −(81− 18 y+ y ) −( x − y ) − 27 = 0<br />
⎧⎪ 12x− 3y+ 8x−12y− 30 = 0<br />
⎨ 2<br />
2 2 2<br />
⎪⎩ x + 12x+ 36 − 81+ 18y−<br />
y − x + y − 27 = 0<br />
5426<br />
⎧ y+ 2 y+<br />
8<br />
⎪ =<br />
( korsmult)<br />
⎨ x−1x ⎪ 2 2<br />
⎩(<br />
y+ 3) −4( x− 2) = ( y+ 2 x)( y− 2 x)<br />
+ 49<br />
⎧xy<br />
( + 2) = ( x− 1)( y+<br />
8)<br />
⎨ 2 2<br />
⎩(<br />
y+ 3) −4( x− 2) = ( y+ 2 x)( y− 2 x)<br />
+ 49<br />
⎧xy<br />
( + 2) −( x− 1)( y+<br />
8) = 0<br />
⎨ 2 2<br />
⎩(<br />
y+ 3) −4( x−2) − ( y+ 2 x)( y−2 x)<br />
− 49= 0<br />
⎧(<br />
xy + 2 x) − ( xy + 8x− y − 8) = 0<br />
⎨<br />
2 2 2 2<br />
⎩(<br />
y+ 6y+<br />
9) −4( x − 4x+ 4) −( y −4 x ) − 49 = 0<br />
⎧<br />
⎪ xy + 2x− xy − 8x+ y+<br />
8= 0<br />
⎨ 2<br />
2<br />
2 2<br />
⎪⎩ y + 6y+ 9− 4x<br />
+ 16x−16 − y + 4x − 49 = 0<br />
⎧−<br />
6x+ y+<br />
8= 0<br />
⎨<br />
⎩16x+<br />
6y− 56 = 0<br />
( lös ekvationssystemet själva)<br />
⎧x<br />
= 2<br />
⎨<br />
⎩y<br />
= 4<br />
( flytta om)<br />
⎧20x−15y−<br />
30 = 0<br />
⎨<br />
⎩12x+<br />
18y− 72 = 0<br />
( lös ekvationssystemet själva)<br />
⎧x<br />
= 3<br />
⎨<br />
⎩y<br />
= 2<br />
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