a.
x - 5x = -13
-4x = -13
x = 13/4
b.
9x - 2x = 4
7x = 4
x = 4/7
c.
6x = -7
x = -7/6
d.
4x - 5x - 3x - 4x = 9
-8x = 9
x = -9/8
e.
4x - 9x - 7x + 5x = -9 - 2
-7x = -11
x = 11/7
f.
3x - 8x + 9x + 7x = 12
11x = 12
x = 12/11
Verificación:
a. 13/4 = 5 * (13/4) - 13
13/4 = 65/4 - 13
13/4 = 13/4
9 * 4/7 - 4 = 2 * 4/7
36/7 - 4 = 8/7
8/7 = 8/7
-7/6 + 5 * (-7/6) = -10 + 3
-7/6 - 35/6 = -7
-42/6 = -7
-7 = -7
4 * (-9/8) - 5 * (-9/8) - 9 = 3 * (-9/8) + 4 * (-9/8)
-36/8 + 45/8 - 9 = -27/8 - 36/8
-63/8 = -63/8
4 * (11/7) - 9 * (11/7) + 2 = 7 * (11/7) - 5 * (11/7) - 9
44/7 - 99/7 + 14/7 = 77/7 - 55/7 - 63/7
-41/7 = -41/7
3 * (12/11) - 8 * (12/11) + 9 * (12/11) = 12 - 7 * (12/11)
36/11 - 96/11 + 108/11 = 132/11 - 84/11
48/11 = 48/11
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a.
x - 5x = -13
-4x = -13
x = 13/4
b.
9x - 2x = 4
7x = 4
x = 4/7
c.
6x = -7
x = -7/6
d.
4x - 5x - 3x - 4x = 9
-8x = 9
x = -9/8
e.
4x - 9x - 7x + 5x = -9 - 2
-7x = -11
x = 11/7
f.
3x - 8x + 9x + 7x = 12
11x = 12
x = 12/11
Verificación:
a. 13/4 = 5 * (13/4) - 13
13/4 = 65/4 - 13
13/4 = 13/4
b.
9 * 4/7 - 4 = 2 * 4/7
36/7 - 4 = 8/7
8/7 = 8/7
c.
-7/6 + 5 * (-7/6) = -10 + 3
-7/6 - 35/6 = -7
-42/6 = -7
-7 = -7
d.
4 * (-9/8) - 5 * (-9/8) - 9 = 3 * (-9/8) + 4 * (-9/8)
-36/8 + 45/8 - 9 = -27/8 - 36/8
-63/8 = -63/8
e.
4 * (11/7) - 9 * (11/7) + 2 = 7 * (11/7) - 5 * (11/7) - 9
44/7 - 99/7 + 14/7 = 77/7 - 55/7 - 63/7
-41/7 = -41/7
f.
3 * (12/11) - 8 * (12/11) + 9 * (12/11) = 12 - 7 * (12/11)
36/11 - 96/11 + 108/11 = 132/11 - 84/11
48/11 = 48/11