How do you solve #5/(n+10)=3/(3n+6)#?

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Answer 1 · 2017-06-01T22:24:09

#n = 0#

We have: #frac(5)(n + 10) = frac(3)(3 n + 6)#

Let's cross-multiply:

#Rightarrow 5 (3 n + 6) = 3 (n + 10)#

Then, let's expand the parentheses:

#Rightarrow 15 n + 30 = 3 n + 30#

Now, let's subtract #3 n + 30# from both sides of the equation:

#Rightarrow 15 n + 30 - (3 n + 30) = 3 n + 30 - (3 n + 30)#

#Rightarrow 15 n - 3 n + 30 - 30 = 3 n - 3 n + 30 - 30#

#Rightarrow 12 n = 0#

Finally, to solve for #n#, let's divide both sides by #12#:

#Rightarrow frac(12 n)(12) = frac(0)(12)#

#therefore n = 0#

Therefore, the solution to the equation is #n = 0#.

Answer 2 · 2017-06-01T22:26:45

#n=0#

Use cross multiplication.

#5(3n+6)=3(n+10)#

Use the Distributive property:

#15n+30=3n+30#

Group like terms together:

#15n-3n+30-30=0#

#12n=0#

#n=0#