Solve the following:
a) 8x – 3 = 6x
b) 9x = 15(7-6x)
c) 3(7y+4)= -4(y+3)
d) 9z = 4(z+15)
e) 6(4x+8)= 5(5x+8)
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Answer:
a)
8x-3 = 6x
8x - 6x = 3
2x = 3
x = 3/2
x = 1.5
b)
9x = 15*7 - 15*6x
9x + 90x = 105
99x = 105
x = 105/99
c)
3*7y + 3*4 = -4y - (4*3)
21y + 12 = -4y - 12
21y + 4y = -12 -12
25y = -24
y = -24/25
d)
9z = 4z + 15*4
9z - 4z = 60
5z = 60
z = 60/5
z = 12
e)
6*4x + 6*8 = 5*5x + 5*8
24x + 48 = 25x + 40
24x - 25x = 40 - 48
-x = -8
x = 8
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