3X + 5 = Y
Y - 11 = 6X
_______
DE LA SEGUNDA ECUACION DESPEJAMOS X
6X = Y - 11
X = (Y - 11 / 6)
AHORA REEMPLAZAMOS EN LA PRIMERA ECUACION
3X + 5 = Y
3(Y - 11 / 6) + 5 = Y
3Y - 33 + 30 = 6Y
Y = - 1
AHORA HALLAMOS X
Y - 11 = 6X - 1 - 11 = 6X - 12 = 6X - 2 = X
COMPROBAMOS 3X + 5 = Y
3( - 2) + 5 = - 1 - 6 + 5 = - 1 - 1 = - 1
2.
2(x + y) - 4 = 10 - x
0.
3x + 0.
4y = 3.
4
____________
2.
2 X + 2.
2Y - 4 = 10 - X
0.
3X + 0.
4Y = 3.
4
_____________
3.
2X + 2.
2Y = 14
0.
3X + 0.
4Y = 3.
4 ( * - 5.
5)
_____________
3.
3X + 2.
2Y = 14 - 1.
65X - 2.
2Y = - 18.
7
_______________
1.
55X = - 4.
7
X = - 3.
03
DE LA PRIMERA ECUACION
3.
3X + 2.
2Y = 14
3.
3( - 3.
03) + 2.
2Y = 14 - 9.
6969 + 2.
2Y = 14
2Y = 23.
696
Y = 10.
8
COMPROBAMOS
0.
3x + 0.
4y = 3.
4
0. 3( - 3.
03) + 0.
4(10.
77) = 3.
4 - 0.
91 + 4.
32 = 3.
4
3. 4 = 3.
4
4x - 2y + 8 = y - 6x - 2
3(x - y + 1) = 3y - 2x - 9
______________
10X - 3Y = - 10 ( * - 2)
5X - 6Y = - 12
___________ - 20X + 6Y = 20
5X - 6Y = - 12
___________
X = - 8 / 15
5X - 6Y = - 12
5( - 8 / 15) - 6Y = - 12 - 8 - 18Y = - 36
Y = 14 / 9
COMPROBAMOS
5X - 6Y = - 12
5( - 8 / 15) - 6(14 / 9) = - 12 - 40 / 15 - 84 / 9 = - 12 - 8 / 3 - 28 / 3 = - 12 - 36 / 3 = - 12 - 12 = - 12
2(x + y) = 3(x - y)
3y = x + 2
_____________
2X + 2Y = 3X - 3Y - - - - >X = 5Y
3Y = X + 2
DE LA SEGUNDA ECUACION
3Y = X + 2
REEMPLAZAMOS
3Y = 5Y + 2 - 2Y = 2
Y = - 1
2X + 2Y = 3X - 3Y
2X - 3X = - 3( - 1) - 2( - 1) - X = 3 + 2
X = - 5
COMPROBAMOS
3Y = X + 2
3( - 1) = - 5 + 2 - 3 = - 3
2(3x - 4y) = 38
3(2x + 3y) + 4 = 5x
____________
6X - 8Y = 38
X + 9Y = - 4 ( * 6)
____________
6X - 8Y = 38 - 6X - 54Y = 24
__________ - 62Y = 62
Y = - 1
DE 6X - 8Y = 38
6X - 8 ( - 1) = 38
6X + 8 = 38
6X = 30
X = 5
COMPROBAMOS
X + 9Y = - 4
5 + 9 ( - 1) = - 4
5 - 9 = - 4 - 4 = - 4
(x - y) - (6x + 8y) = - (10x + 5y + 3)
(x + y) - (9y - 11x) = 2y - 2x
___________________
5X - 4Y = - 3
7X = 5Y
________
DE LA SEGUNDA ECUACION DESPEJAMOS X
7X = 5Y
X = 5Y / 7
DE LA PRIMERA
5X - 4Y = - 3
5 (5Y / 7) - 4Y = - 3
Y = 7
AHORA HALLAMOS X
X = 5Y / 7
X = 5(7) / 7
X = 5
COMPROBAMOS
7X = 5Y
7(5) = 5(7)
35 = 35
x(y - 2) - y(x - 3) = - 14
y(x - 6) - x(y + 9) = 59
______________ - 2X + 3Y = - 14
9X - 6Y = 59
___________
DE LA PRIMERA ECUACION
2X = 14 + 3Y
X = (14 + 3Y / 2)
AHORA EN LA SEGUNDA ECUACION
9X - 6Y = 59
9(14 + 3Y / 2) - 6Y = 59
126 + 27Y - 12Y = 118
Y = - 8 / 15
AHORA HALLAMOS X
X = (14 + 3( - 8 / 15)) / 2
X = 31 / 5
COPROBAMOS
9X - 6Y = 59
9(31 / 5) - 6( - 8 / 15) = 59
279 / 5 + 16 / 5 = 59
295 / 5 = 59
59 = 59
3x - 4y - 2(2x - 7) = 0
5(x - 1) - (2y - 1) = 0
_____________
X + 4Y = 14
5X - 2Y = 4
_________
DE LA PRIMERA ECUACION
X + 4Y = 14
X = 14 - 4Y
DE LA SEGUNDA ECUACION
5X - 2Y = 4
5 (14 - 4Y) - 2Y = 4
70 - 20Y - 2Y = 4
Y = 3
HALLAMOS X
X = 14 - 4Y
X = 14 - 4(3)
X = 14 - 12
X = 2
COMPROBAMOS
5X - 2Y = 4
5(2) - 2(3) = 4
10 - 6 = 4
4 = 4
5x - 0.
5 = 5y + 0.
5
0y + 3 = 4x + 9
___________
5X - 5Y = 1
X = - 3 / 2
DE LA ECUACION 1
5X - 5Y = 1
5( - 3 / 2) - 5Y = 1
Y = 17 / 10
COMPROBAMOS
5X - 5Y = 1
5( - 3 / 2) - 5 ( - 77 / 10) = 1 - 15 / 2 + 17 / 2 = 1 - 15 / 2 + 17 / 2 = 1
2 / 2 = 1
1 = 1.