Can someone help me with this problem....5x/7-6x/5=3/35
find the common denominator for the left side
You should get it to be 35
multiply both the numerator and the denominator by the number that makes each fraction have a denominaor of 35
After this
Multiply the whole equation by 35
Then you should be left with a simple equation
To solve the equation 5x/7 - 6x/5 = 3/35, we will first find the common denominator for the left side of the equation. In this case, the common denominator should be 35 since it is the least common multiple of 7 and 5.
To get each fraction to have a denominator of 35, we need to multiply the numerator and denominator of each fraction by the number that makes the denominator 35.
For 5x/7, we multiply both the numerator and the denominator by 5, which gives us (5 * 5x)/(7 * 5) = 25x/35.
For 6x/5, we multiply both the numerator and the denominator by 7, which gives us (6x * 7)/(5 * 7) = 42x/35.
Now, our equation becomes 25x/35 - 42x/35 = 3/35.
Next, we multiply the whole equation by 35 to eliminate the denominators.
35 * (25x/35) - 35 * (42x/35) = 35 * (3/35).
This simplifies to 25x - 42x = 3.
Combine like terms on the left side of the equation: -17x = 3.
Finally, divide both sides of the equation by -17 to solve for x:
x = 3 / -17.
Therefore, the solution to the equation 5x/7 - 6x/5 = 3/35 is x = 3 / -17.