Question

Solve.
1/5(25-5a)=4-a

A.
–1

B.
0

C.
no solution

D.
all real numbers

Answer 1

Well first using the distributive property, do 1/5 * 25 and 1/5 * 5a

Answer 2

Can you do that for now?

Answer 3

k let me see, im really bad at these

Answer 4

would it be 1/5 * 5-5a= 4-a?

Answer 5

No, first do 1 divided by 5, that gives you 0.2. Now multiply 0.2 * 25 and 0.2 * 5a. What do you get?

Answer 6

5

Answer 7

good now whats 0.2 * 5?

Answer 8

1

Answer 9

yes, and 1a can be simplified to just "a".

So now you have

5 - a = 4 - a

Now you can add/subtract "like terms". So cancel out 5 and do

4 - 5

Answer 10

-1

Answer 11

And now add a+a (2a)

So we end up with -1 = 2a

To get "a" by itself we cancel out 2 and divide -1 by 2

Answer 12

-0.5=a

Answer 13

yes, and if we plug that in for "a" we see it is not correct. therefore the answer is C "no solution". To check even further (I did this just to make sure, but you can too) try plugging in any number above 0 or equal to 0, you will also see that both sides do not even out

Answer 14

thnx! you really helped me!