Description
1) 1/3y -4 = 9
2) 1/6y +2 = 5/12
3) 2/15z +3 = 7/8
4) 1/4(3m -4) - 1/5 = 1/4m + 3/10
5) 2/3x +4 = 2/3x -6
6) 1/6( 2c -1)= 1/3c - 1/6
7) One third of a number equals five. Find the number.
Explanation & Answer
1) 1/3y = 13
y = 13(3) = 39
2) 1/6y = 5/12 - 24/12 = -19/12
y = (-19/12)(6) = -19/2
3) 2/15z = 7/8 - 24/8 = -17/8
z = (-17/8)(15/2) = -255/16
4) 1/4(3m -4) - 1/5 = 1/4m + 3/10
3/4m - 1 -1/5 = 1/4m+3/10
2/4m = 3/10+1+1/5
1/2m = 15/10
m = (15/10)(2) = 15/5 = 3
5) 2/3x +4 = 2/3x -6
2/3x on both sides cancel
no solution
6)1/6( 2c -1)= 1/3c - 1/6
1/3c - 1/6 = 1/3c - 1/6
infinite number of solutions
7) One third of a number equals five. Find the number.
1/3x = 5
x = 5(3) = 15
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