Question

How many solutions does the equation have?
http://static.k12.com/bank_packages/files/media/mathml_432c5ef2080fdafcf77c86eb4174ca1530c9782b_1.gif


A.
one solution

B.
infinite solutions

C.
no solution

Answer 1

@Bibbys_Husky

Answer 2

@uri

Answer 3

@samson245

Answer 4

@sammixboo

Answer 5

@Abhisar

Answer 6

I give medals

Answer 7

can you eplane though xD

Answer 8

\[a+5=\frac{1}{5}(5a+25)\]
Hint: what do you get when you apply the Distributive Property to the right side of your equation? (Multiply both 5a and 25 by 1/5)?

Answer 9

multiply 1/5

Answer 10

yes, "multiply out" the right-hand side of the equation.

Answer 11

so how would i write it down

Answer 12

\[a+5=\frac{1}{5}(5a)+\frac{1}{5}(25)\]
Now multiply both 5a and 25 by 1/5.

Answer 13

okay

Answer 14

and then i?

Answer 15

You should have an equation that says a + 5 = a + 5. That looks kinda special, doesn't it? Normally, you'd try to get the variable by itself. Try subtracting 5 from both sides. You get a = a. How many numbers do you think are equal to THEMSELVES?!

Answer 16

so B right?

Answer 17

Yes! This kind of equation is called an IDENTITY because the two sides are identical, although in this case, the right side is sort of "in disguise." It's not as obvious as, say, the equation x + 1 = x + 1.

Answer 18

so infinite mean like there equal

Answer 19

Yeah! If you try to solve the equation x + 1 = x + 1, you subtract 1 from both sides and get x = x. This is saying that any solution is a number equal to itself. But ALL numbers are equal to themselves. Any real number is a solution to the equation.

Answer 20

okay thanx alot xD Medal For the smart bueatiful girl xD your awsume

Answer 21

Happy to help!

Answer 22

How many solutions does the equation have?
3(4x-3)-7x=5x-9


A.
one solution

B.
infinite solutions

C.
no solution

Answer 23

this what i did
3(4x-3) - 7x = 4x
12x-3-7x=4x

Answer 24

@ivycoveredwalls did i do it right so far?

Answer 25

@felavin

Answer 26

@nechirwan

Answer 27

it's C.

Answer 28

Almost correct. Look carefully at the left side. When you distribute the 3, you must multiply it by BOTH terms inside parentheses.
3(4x - 3) - 7x = 5x - 9
12x - 9 - 7x = 5x - 9
Now combine terms on the left side (put the 12x and 7x together using subtraction). You'll get 5x - 9 = 5x - 9.
Does this look familiar?

Answer 29

oh ya i messed up on the pat where it was 12x-9 i put 12x-3 lol

Answer 30

That's really easy to do!

Answer 31

you don't solve for 5x-9?

Answer 32

ikr i meesed up sorry

Answer 33

@Ivanloza96

Answer 34

Nope. As soon as you see that the two sides of the equation are the same, you can say that the number of solutions is infinite.

But if something like this happens:
3(2x + 3) = 6x + 7
6x + 9 = 6x + 7
If you subtract 6x from both sides, you get 9 = 7, which is NOT TRUE! That's telling you that there are NO SOLUTIONS!

Answer 35

oh okay