Solve the equation (5/3p)+(2/3)=(5+p/2p)
A. p=12
B. p=5
C. p=9
D. p=6 ****
I think it is D. Can someone please check this?? Thanks <3
concerned about your ambiguous typing, especially the right side (RS)
RS = (5+p/2p)
the way you typed it, this will always be (5 + 1/2) or just plain 11/2
None of the given choices subbed into the LS will make this true.
Make sure you retype your equation using brackets,
e.g.
by 5/3p , do you mean
(5/3)(p)
or 5/(3p)
you think?
Can't you check?
if p=5, you have
(5/3 * 5)+(2/3)=(5+5/2*5)
27/3 = 35/2
Guess not
clearly you have misused parentheses and maybe inflicted other typos on your expression
To solve the equation (5/3p) + (2/3) = (5 + p/2p), we can first simplify the equation by getting rid of the fractions.
To do this, we can multiply every term in the equation by the least common multiple (LCM) of the denominators, which in this case is 6p.
So, multiplying each term by 6p, we get:
6p * [(5/3p) + (2/3)] = 6p * [(5 + p/2p)]
Now let's simplify and solve step by step:
1. Distribute the 6p to each term inside the brackets:
[(6p * 5)/(3p)] + [(6p * 2)/3] = [(6p * 5) + (6p * p/2p)]
2. Simplify each term:
On the left side: (6p * 5)/(3p) becomes (30p)/(3p), which simplifies to 10.
Additionally, (6p * 2)/3 becomes (12p)/3, which simplifies to 4p.
On the right side: (6p * 5) becomes 30p, and (6p * p/2p) becomes 6p.
So our equation now simplifies to:
10 + 4p = 30p + 6p
3. Combine like terms on both sides of the equation:
10 + 4p = 36p
4. Move the variable (p) terms to one side and the constant term (10) to the other side:
4p - 36p = -10
Simplifying:
-32p = -10
5. Divide both sides of the equation by -32 to solve for p:
p = (-10)/(-32)
p = 10/32
p = 5/16
So the correct answer is not D. p=6, but rather B. p=5.