1/2x+3=2/3x+1 Your goal is to get all the x's on one side and all the numbers on the other side initially in order to solve for x.
1/2x+3=2/3x+1 subtract 1 from both sides 1/2x+2=2/3x now you need to find the least common multiple of both denominators and multiply that number by both the numerator and demoninator
The least common multiple of both denominators is 6. 2 goes into 6 3 times, so you have to multiply the 1/2 by 3/3. 3 goes into 6 2 times, so you have to multiply the 2/3 by 2/2.
2=4/6x - 3/6x 2=1/6x In order to divide the 1/6 fraction, you multiply both sides by its inverse of 6/1.
2(6/1)= 1/6 * 6/1x 12=x
You can check the answer to be sure it's correct. 1/2x+3=2/3x+1 2= 4/6(12) - 3/6(12) 2=8-6 2=2
Distance =rate/time so your answer is 3 hours first you have to convert meters to kilometers 921000 meters = 921 Km so you have like terms to calculate so your distance becomes 921 Km then divide by the speed 907÷3 = 3 so your answer is 3 hrs
