Question

Equação de 1 grau
$a)4(2y - 1) = 3(5y - 2) - 5$
$b)2(3 - a) + 7(2 - a) = 15 - 4a$
$c \: ) \frac{x - 5}{2} - \frac{x}{3} = \frac{1}{3} - \frac{3x + 14}{12}$
$d)y - \frac{y + 4}{2} = 1 + \frac{y}{6}$
$e) \frac{5x - 2}{3} - \frac{7x - 5}{6} = \frac{3x + 1}{15}$
$f) \frac{2(4x + 1)}{3} + \frac{4(x + 1)}{3} = \frac{5(3x + 2)}{4}$

Answer 1

a)4(2y−1)=3(5y−2)−5 
8y - 4 = 15y - 6 - 5
7y = 7
y = 1

b)2(3 - a) + 7(2 - a) = 15 - 4a
6 - 2a + 14 - 7a = 15 - 4a
20 - 9a = 15 - 4a
5a = 5
a = 1

c) (x - 5)/2 - x/3 = 1/3 - (3x + 14)/12
6x - 30 - 4x = 4 - 3x - 14
2x - 30 = - 10 - 3x
5x = 20
x = 4

d) y - (​​​y+4​​)/2 = 1 +​ y​​/6
6y - 3y - 12 = 6 + y
3y - 12 = 6 + y
2y = 18
y = 9

e)​ (5x−2)​​/3 −​ (​​7x−5)/6 ​​=​ (​​3x+1​​)/15
50x - 20 - 35x + 25 = 6x + 2
15x + 5 = 6x + 2
9x = -3
x = -1/3

f) ​2(4x+1)​​/3 +​ 4(x+1)/3 ​​=​ ​5(3x+2)​​/4
(8x+2)/3 + (4x+4)/3 = (15x+10)/4
32x + 8 + 16x + 16 = 45x + 30
48x + 24 = 45x + 30
3x = 6
x = 2