4a + 5 = 3(a - 7) + 2a
4a + 5 = 3a - 21 + 2a
4a + 5 = 5a -21
4a -5a = -21 -5
-a = -26
a = 26
5x+3y=-9
-2x+y=8
The first step is the trickery (and quite frankly, hardest to explain) part. You need to multiply one equation by a number that will create one variable to be the negative version of the other...(Confusing, right? Don't worry, I'll show you)
We are going to solve for X first.
We will multiply the second equation by -3
5x+3y=-9
-3(-2x+y)=(-3)8
Now simplify:
5x+3y= -9
6x-3y= -24
Now combine the two equations (add them together)
11x= -33
Divide by 11
X=-3
Now plug X in to one of the first equations:
5(-3)+3y= -9
-15+3y =-9
3Y= 6
Y= 2
So your final answer is:
x= -3
Y= 2
Hope this helps!
Answer: 130
Step-by-step explanation:
Let x be the original number of hip- hop CDs in the music store.
Given : A music store has sold 3/5 of their hip-hop CDs, but 10 were returned.
i.e. The number of hip- hop CDs in the store will be :
Original No. of CDs - CDs sold + CDs Returned

If the store has 62 Hip-Hop CDs now , then required euation will be :-

Subtract 10 from both sides , we get




Hence, the number of CDs they originally have = 130
Answer:
A=2, B=3, C=5
Step-by-step explanation:
Two polynomials are equal for all values of the variable if the corresponding coefficients are the same. The way to solve the problem is to multiply the RHS, rewrite it in a more orderly way

Now, for the two polynomials to be the same we need to have, at the same time

You might notice that we have more conditions than variables, but you can consider one of the two in the middle as a "check" option.
Now, grabbing the value from the first condition into the second we get B=3. Replacing both value in the third we see that the equality still holds, and replacing into the fourth we get C =5.
First find the volume of that container
R = pi (r)^2h
R = pi (15.21)(12.4)
R = 592.5169408
60,000 / R = 101.2629275
102 storage tanks