Alguien que me ayude con este trabajo por favor
Respuestas
2)
a)
x - y = 8
x - y = 83x + 5y = 16
x1 = 8 + y/x
3 (8 + y) + 5y = 16
24 + 3y + 5y = 16
3y + 5y = 16 - 24
8y = -8
y = -8/8
y = -1
x - y = 8
x - (-1) = 8
x + 1 = 8
x = 8 - 1
x = 7
3x + 5y = 16
3x + 5(-1) = 16
3x - 5 = 16
3x = 16 + 5
3x = 21
x = 21/3
x = 7
x = 7 ; y = -1
b)
4x + y = 8
2x + 3y = -6
x1 = 8 - y/4
2 (8 - y/4) + 3y = -6
8 - y = 2 (-6 - 3y)
8 - y = -12 - 6y
-y + 6y = -12 - 8
5y = -20
y = -20/5
y = -4
4x + y = 8
4x + (-4) = 8
4x - 4 = 8
4x = 8 + 4
4x = 12
x = 12/4
x = 3
2x + 3y = -6
2x + 3(-4) = -6
2x - 12 = -6
2x = -6 + 12
2x = 6
x = 6/2
x = 3
x = 3 ; y = -4
c)
5x - 2y = 1
3x - y = 1
x1 = 1 + 2y/5
3 (1 + 2y/5) - y = 1
3 (1 + 2y) = 5 (1 + y)
3 + 6y = 5 + 5y
6y - 5y = 5 - 3
y = 2
5x - 2y = 1
5x - 2(2) = 1
5x - 4 = 1
5x = 1 + 4
5x = 5
x = 5/5
x = 1
3x - y = 1
3x - 2 = 1
3x = 1 + 2
3x = 3
x = 3/3
x = 1
x = 1 ; y = 2
d)
5x + 7y = -8
-x + 2y = 5
x1 = -8 - 7y/5
-(-8 - 7y/5) + 2y = 5
8 + 7y = 5 (5 - 2y)
8 + 7y = 25 - 10y
7y + 10y = 25 - 8
17y = 17
y = 17/17
y = 1
5x + 7y = -8
5x + 7(1) = -8
5x + 7 = -8
5x = -8 - 7
5x = -15
x = -15/5
x = -3
-x + 2y = 5
-x + 2(1) = 5
-x + 2 = 5
-x = 5 - 2
(-) -x = 3
x = -3
x = -3 ; y = 1
e)
2x + 3y = 2
3x + 2y = 8
x1 = 2 - 3y/2
3 (2 - 3y/2) + 2y = 8
3 (2 - 3y) = 2 (-2y + 8)
6 - 9y = - 4y + 16
-9y + 4y = 16 - 6
-5y = 10
-y = 10/5
(-) -y = -2
y = -2
2x + 3y = 2
2x + 3(-2) = 2
2x - 6 = 2
2x = 2 + 6
2x = 8
x = 8/2
x = 4
3x + 2y = 8
3x + 2(-2) = 8
3x - 4 = 8
3x = 8 + 4
3x = 12
x = 12/3
x = 4
x = 4 ; y = -2
f)
4x - 6y = -3
8x + 3y = 4
x1 = -3 + 6y/4
8 (-3 + 6y/4) + 3y = 4
8 (-3 + 6y) = 4 (-3y + 4)
-24 + 48y = -12y + 16
48y + 12y = 16 + 24
60y = 40
y = 40/60
y = 2/3 ó 0.66
4x - 6y = -3
4x - 6(2/3) = - 3
4x - 4 = -3
4x = -3 + 4
4x = 1
x = 1/4
8x + 3y = 4
8x + 3(2/3) = 4
8x + 2 = 4
8x = 4 - 2
8x = 2
x = 2/8
x = 1/4
x = 1/4 ; y = 2/3
3)
a)
x - 2y = 7
x + 5y = -7
x1 = 7 + 2y /1
x2 = -7 - 5y/1
7 + 2y = -7 - 5y
2y + 5y = -7 - 7
7y = - 14
y = - 14/7
y = -2
x - 2y = 7
x - 2(-2) = 7
x + 4 = 7
x = 7 - 4
x = 3
x + 5y = -7
x + 5 (-2) = -7
x - 10 = - 7
x = -7 + 10
x = 3
x = 3 ; y = -2
b)
6x - y = 13
3x - y = 4
x1 = 13 + y/6
x2 = 4 + y/3
3 (13 + y) = 6 (4 + y)
39 + 3y = 24 + 6y
3y - 6y = 24 - 39
(-) -3y = -15
3y = 15
y = 15/3
y = 5
6x - y = 13
6x - 5 = 13
6x = 13 + 5
6x = 18
x = 18/6
x = 3
3x - y = 4
3x - 5 = 4
3x = 4 + 5
3x = 9
x = 9/3
x = 3
x = 3 ; y = 5
c)
3x - 5y = -10
x + 2y = 37
x1 = -10 + 5y/3
x2 = 37 - 2y/1
-10 + 5y = 3(37 - 2y)
-10 + 5y = 111 - 6y
5y + 6y = 111 + 10
11y = 121
y = 121/11
y = 11
3x - 5y = -10
3x - 5(11) = -10
3x - 55 = -10
3x = -10 + 55
3x = 45
x = 45/3
x = 15
x + 2y = 37
x + 2(11) = 37
x + 22 = 37
x = 37 - 22
x = 15
x = 15 ; y = 11
Espero haberte ayudado. Suerte en los estudios ≧◠◡◠≦.
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