MHB Solve for x in the denominator of the fraction

[mathlearn]

View attachment 5788

In this I think you should cross multiply ; I got 1/2 by doing so and I am not sure whether it is correct.Can you help me to solve this and be kind enough to explain your steps a little. :)

 

[MarkFL]

Combine terms on the left:

$$\frac{7}{x}=14$$

Divide through by 7:

$$\frac{1}{x}=2$$

Invert both sides:

$$x=\frac{1}{2}$$ :)

 

[mathlearn]

Many Thanks. :)

 

[phymat]

In this I think you should cross multiply ; I got 1/2 by doing so and I am not sure whether it is correct.Can you help me to solve this and be kind enough to explain your steps a little. :)

We cross-multiply when we replace the division symbol with multiplication symbol.

In this case we have addition, where we make denominators equal (and do not cross-multiply).

Main help is already provided by MarkFL.

 

[mathlearn]

Many Thanks (Smile)