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x - 4y=-5
hacemos reduccion
2x+3y=12................2x+3y=12
-2(x - 4y=-5)............-2x+8y=10
11y=22......y=22/11..........y=2
si y=2
2x+3y=12
2x+3(2)=12
2x+6=12
2x=12-6
2x=6
x=6/2
x=3
x=3 y=2
...........................................................
3x - 4y= - 11
x - 3y=-1
reduccion
3x - 4y= - 11...........3x-4y= -11
-3(x - 3y=-1).............-3x+9y=3
5y= -8........y= -8/5
si y= -8/5
x-3y= -1
x-3(-8/5)= -1
x+24/5= -1
x= -1-24/5
x= -29/5
x= -29 y= - 8
5 5
............................................
3x - 2y=4
2x-y=5
hacemos sustitucion
2x-y=5
-y= -2x+5
y=2x-5
sustituimos y=2x+5 en la primera ecuacion
3x-2y=4
3x-2(2x-5)=4
3x-4x+10=4
-x=4-10
-x= -6
x=6
si x=6
y=2x-5
y=2(6)-5
y=12-5
y=7
x=2 y=1
..................................................................
4x+3y= - 14
3x - 4y= - 23
hacemos reduccion:
-3(4x+3y= - 14)...............-12x-9y=42
4(3x - 4y= - 23)................12x-16y= -92
-25y= -50.....y= -50/-2.....y=2
si y=2
3x-4y= -23
3x-4(2)= -23
3x-8= -23
3x= -23+8
3x= -15
x= -15/3
x= -5
x= -5 y=2
....................................................
x+3y=9
x - 2y = 1
hacemos sustitucion
x-2y=1
x=2y+1
sustituimos x=2y+1 en la primera ecuacion
x+3y=9
2y+1+3y=9
2y+3y=9-1
5y=8
y=8/5
si y=8/5
x-2y=1
x-2(8/5)=1
x-16/5=1
x=1+16/5
x=21/5
x= 21 y= 8
5 5