solve equation(rational expression)
3/10=5/x
3x=50
x=50/3
x=16 2/3
is this right.
I believe you are right. WHatever you do to one side of the equation, you have to do to the other, and it seems like you followed that algebra rule correctly.
It is right. Good job.
Yes, your solution is correct.
To solve the equation 3/10 = 5/x, you can start by cross-multiplying.
This means multiplying the numerator of the left fraction by the denominator of the right fraction, and then multiplying the denominator of the left fraction by the numerator of the right fraction.
Cross-multiplying gives you: 3 * x = 10 * 5.
Simplifying this equation gives you: 3x = 50.
To isolate x, divide both sides of the equation by 3:
3x/3 = 50/3.
This simplifies to: x = 50/3.
The result 50/3 can be written as a mixed number as well.
50 divided by 3 is equal to 16 with a remainder of 2.
Therefore, x can also be expressed as 16 2/3.