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2010-01-29T19:21:05+01:00
D) { 2x+y=9
{ 5x-4y=3
{y=9-2x
{5x-4(9-2x)=3
{y=9-2x
{5x-36+8x=3
{y=9-2x
{13x=3+36
{y=9-2x
{13x=39/:13
{y=9-2x
{x=3
{y=9-2*3
{x=3
{y=3

e) { 3x-2y=5
{ 2x-y=4
{-y=4-2x/:-1
{3x-2y=5
{y=-4+2x
{3x-2(-4+2x)=5
{y=-4+2x
{3x+8-4x=5
{y=-4+2x
{-x=5-8
{y=-4+2x
{-x=-3/:-1
{y=-4+2x
{x=3
{y=-4+2*3
{x=3
{y=2

f) { 2x-9y=-9
{ -3x+3y=8
{9y=-2x-9/:9
{-3x+3y=8
{y=-2/9x-1
{-3x+3(-2/9x-1)=8
{y=-2/9x-1
{-3x-2/3x-3=8
{y=-2/9x-1
{11/3x=11/:11/3
{y=-2/9x-1
{x=3
{y=-2/9*3-1
{x=3
{y=5/3


g) { 2x+3y=4
{ 8x-5y=-1
{2x=4-3y/:2
{8x-5y=-1
{x=0,5
{8*0,5-5y=-1
{x=0,5
{-5y=-5/:-5
{x=0,5
{y=1