Ensayo

Páginas: 10 (2378 palabras) Publicado: 24 de mayo de 2012
SUMA Y RESTA O REDUCCION
1) 2X - 4Y= -2 2X - 4Y = -2 COMPROVACION
3X + 5Y = -25 2X – 4(-2) = -2 2X - 4Y = -2
-3(2X – 4Y= -2) 2X + 8 = -2 2(-5) – 4(-2) = -2
2(3X + 5Y = -25) 2X=-2-8 -10 + 8 = -2
-6X + 12Y = 6 2X= -10 -2 = -2
6X + 10Y = -50 X= -5 3X + 5Y = -25
-42Y = 42 3(-5) + 5(-1) = -25
Y = -1 -15 + 5 = -25
-25 = -25

2) 5X - 3Y= 23 5X - 3Y = 23 COMPROVACION-4X - 6Y = -10 5X – 3(-1) = 23 5X - 3Y = 23
4(5X – 3Y= 23) 5X + 3 = 23 5(4) – 3(-1) = 23
5( -4X + 6Y = -10) 5X=23-3 20 + 3 = 23
20X - 12Y = 92 5X= 20 23 = 23
-20X - 30Y = -50 X= 4 -4X – 6Y = -10
-42Y = 42 -4(4) – 6(-1) = -10
Y = -1 -16 + 6 = -10
-10 = -10
3) 3X - 2Y= 3 3X - 2Y = 3 COMPROVACION
-5X + 3Y = -4 3X – 2(-3) = 3 3X - 2Y = 3
5(3X – 2Y= 3) 3X + 6 =3 3(-1) – 2(-3) = 3
3( -5X + 3Y = -4) 3X=3-6 -3 + 6 = 3
15X - 10Y = 15 3X= -3 3 = 3
-15X + 9Y = -12 X= -1 -5X + 3Y = -4
-Y = 3 -5(-1) + 3(-3) = -4
Y = -3 5 - 9 = -4
-4 = -4

4) 3X + 7Y= 27 3X + 7Y = 27 COMPROVACION
5X + 4Y = 22 3X + 7(3) = 27 3X + 7Y = 27
-5(3X + 7Y= 27) 3X + 21 = 27 3(2) + 7(3) = 27
3(5X + 4Y = 22) 3X=27 - 21 6 + 21 = 27
-15X – 35Y = 92 3X=6 27 = 27
15X – 12Y = 66 X= 2 5X + 4Y = 22
- 23Y = -69 5(2) + 4(3) = 22
Y = 3 10 + 12 = 22
22 = 22
5) 11X + 12Y= 34 11X + 12Y = 34 COMPROVACION
13X - 18Y = 8 11X + 12(1) = 34 11X + 12Y = 34
-13(11X + 12Y=34) 11X + 12 = 34 11(2) + 12(1) = 34
11(13X - 18Y= 8) 11X=34-12 22 + 12 = 34
-163X - 156Y=442 11X= 22 34 = 34
163X - 198Y =88 X= 2 13X – 18Y = 8
-354Y =-354 13(2) – 18(1) = 8
Y = 1 26 - 18 = 8
8 = 8

6) 37X - 33Y= 53 37X - 33Y = 53 COMPROVACION
13X - 8Y = 33 37X - 33(4) = 53 37X - 33Y 53
13(37X - 33Y=53) 37X - 132 = 53 37(5) - 33(4) = 53
-37(13X - 8Y=33) 37X=53+132 185 - 132 = 53
481X - 429Y=689 37X= 185 53 = 53
-481X + 296Y =-1221 X= 5 13X – 8Y = 33
-133Y = -532 13(5) – 8(4) = 33
Y = 4 65 - 32= 33
33 = 33

7) 2X - 3Y= 16 2X - 3Y = 16 COMPROVACION
5X + 2Y = 2 2X - 3(-4) = 16 2X - 3Y = 16
-5(2X - 3Y= 16) 2X + 12 = 16 2(2) - 3(-4) = 16
2(5X + 2Y = 2) 2X=16 - 12 4 + 12 = 16
-10X + 15Y = -80 2X= 4 16 = 16
10X + 4Y = 4 X= 2 5X + 2Y = 2
19Y = -76 5(2) + 2(-4) = 2
Y = -4 10 - 8 = 2
2 = 2

8) 5X + 2Y= -5 5X + 2Y = -5 COMPROVACION
-3X + 4Y = 295X + 2(5) = -5 5X + 2Y = -5
3(5X + 2Y= -5) 5X + 10 = -5 5(-3) + 2(5) = -5
5(-3X + 4Y = 29) 5X=-5 - 10 -15 + 10 = -5
15X + 6Y = -15 5X= -15 -5 = -5
-15X + 20Y = 145 X= -3 -3X + 4Y = 29
26Y = 130 -3(-3) + 4(5) = 29
Y = 5 9 + 20 = 29
29 = 29


9) 5X + 3Y= -5 5X + 3Y = -5 COMPROVACION
4X - 5Y = 33 5X + 3(-5) = -5 5X + 3Y = -5
-4(5X + 3Y= -5) 5X - 15 = -5 5(2) +3(-5) = -5
5(4X - 5Y = 33) 5X=-5 + 15 10 - 15 = -5
-20X - 12Y = 205 5X= 10 -5 = -5
20X - 25Y = 165 X= 2 4X – 5Y = 33
-37Y = 185 4(2) - 5(-5) = 33
Y = -5 8 + 25 = 33
33 = 33

10) 10X=84 – 3Y 10X=84 – 3Y COMPROVACION
16X - 3Y = 72 10X=84 – 3(8) 10X=84 – 3Y
16(10X + 3Y=84) 10X =84 – 24 10(6)=84 – 3(8)
-10(16X - 3Y= 72) 10X=60 60 =84 – 24
160X +48Y=1344 X= 660 + 24 = 84
-160X + 30Y =-720 84 = 84
78Y = 624 16X – 3Y = 72
Y = 8 16(6) – 3(8) = 72
96 - 24 = 72
72 = 72

SUSTITUCION
1) 3X + 2Y= -1 3X + 2Y = -1 2X – Y =4 COMPR.
2X – Y= 4 3(4 + Y) + 2Y = -1 2X – (-2) =4 3X + 2Y = -1
2X – Y= 4 2 2X + 2 =4 3(1) + 2(-2) =-1
2X= 4 + Y 2(12 + 3Y + 2Y = -1) 2X = 4 – 2 3 – 4 = -1
X = 4 + Y2 2X = 2 -1 = -1
2 12 + 3Y + 4Y = -2 X = 1 2X – Y = 4
3Y + 4Y = -2 -12 2(1) –(-2) = 4
7Y = -14 2 + 2 = 4
Y = -2 4 = 4

2) 5X - 3Y= 15 5X - 3Y = 15 4X + 2Y =100 COMPR.
4X + 2Y= 100 5(100 - 2Y) - 3Y = 15 4X + 2(20)=100 5X - 3Y = 15
4X + 2Y= 100 4 4X + 40 = 100 5(15) - 3(20)=15
4X= 100 - 2Y 4(500 - 10Y - 3Y = 15) 4X =...
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