Question

1/6(j-1)+4=1/5(3j+1)

Answer 1

Answer:8.385

Step-by-step explanation:

Step 1: multiply both sides by 30 (this sounds crazy, but that's 5 and 6's least common multiple) 1/6(j-1)+4=1/5(3j+1) -> 5(j-1)+120=6(3j+1)

Step 2: Distribute 5(j-1)+120=6(3j+1) -> 5j-5+120=18j+6

Step 3: Combine like terms 5j-5+120=18j+6 -> 5j+115=18j+6

Step 4: Isolate the variable 5j+115=18j+6 -> 109=13j

Step 5: Divide to further isolate 109/13=j= 8.385