What is the easiest way to solve for x. (these are fractions, not dividing)
4/15=x/5 would I find the common denominator or cross multiply
and
x/3=x+10/6 same question
1) multiply each side by 5
2) multiply both sides by 6
subtract 6x from each side
multiply each side by -1
Thank you.
So is
1) x=1 1/3
2)x=10
To solve for x in the equation 4/15 = x/5, you can use cross multiplication. Here's how:
1. Rearrange the equation to isolate the unknown variable:
4/15 = x/5
2. Cross multiply by multiplying the numerator of the first fraction by the denominator of the second fraction and vice versa:
4 * 5 = 15 * x
3. Simplify both sides of the equation:
20 = 15x
4. Solve for x by dividing both sides of the equation by 15:
x = 20/15 or x = 4/3
So, the value of x in the equation 4/15 = x/5 is x = 4/3.
Now, let's move on to the second equation x/3 = (x + 10)/6. In this case, finding the common denominator would be the easier approach. Here's how:
1. Determine the least common denominator (LCD) of the fractions involved. In this case, since the denominators are already 3 and 6, the LCD is simply 6.
2. Multiply both sides of the equation by the LCD (6) to eliminate the denominators:
6 * (x/3) = 6 * (x + 10)/6
3. Simplify:
2x = x + 10
4. Isolate the unknown variable on one side of the equation by subtracting x from both sides:
2x - x = x + 10 - x
5. Simplify:
x = 10
Thus, in the equation x/3 = (x + 10)/6, the value of x is x = 10.