1) 1/3(5/12-4m) = 4/9(1 1/2m-3/8)1/3 (5/12 - 4m) = 4/9(3/2m - 3/8)1/3 (5/12 - 4m) = 4/9 (3m/2 - 3/8)1/3 (5/12 - 4m) = 2/3 (3m - 3/4)5/36 - 4/3m = 6m - 2m5/36 - 4/3m = 4m5/36 = 10/3mm = 36/30 = 6/5
2) 0.3(5x-7) = 3(0.2x+3.2)1.5x - 2.1 = 0.6x + 9.6 1.5x - 0.6x = 9.6 + 2.10.9x = 11.7x = 11.7 / 0.9x = 13
3) (1.4x - 3.5) / 0.25 = (4.6x - 18) / (-1.5)5.6x - 14 = -3.07x + 128.67x = 26x = 26 / 8.67x = 3
4) |x| + 3 = 2|x| + 3 - 3 = 2 - 3|x| = -1Since the absolute value of a number is always positive, there is no solution to this equation.
1) 1/3(5/12-4m) = 4/9(1 1/2m-3/8)
1/3 (5/12 - 4m) = 4/9(3/2m - 3/8)
1/3 (5/12 - 4m) = 4/9 (3m/2 - 3/8)
1/3 (5/12 - 4m) = 2/3 (3m - 3/4)
5/36 - 4/3m = 6m - 2m
5/36 - 4/3m = 4m
5/36 = 10/3m
m = 36/30 = 6/5
2) 0.3(5x-7) = 3(0.2x+3.2)
1.5x - 2.1 = 0.6x + 9.6
1.5x - 0.6x = 9.6 + 2.1
0.9x = 11.7
x = 11.7 / 0.9
x = 13
3) (1.4x - 3.5) / 0.25 = (4.6x - 18) / (-1.5)
5.6x - 14 = -3.07x + 12
8.67x = 26
x = 26 / 8.67
x = 3
4) |x| + 3 = 2
|x| + 3 - 3 = 2 - 3
|x| = -1
Since the absolute value of a number is always positive, there is no solution to this equation.