Solve a linear equation with fraction

Mathematics
Tutor: None Selected Time limit: 1 Day

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.

Feb 2nd, 2015

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

Feb 2nd, 2015

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