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Decide whether the given number is a solution of the given equation.
Is 3 a solution of 9x - 3 = 48 - 8x?

no
yes

2007-02-27 01:53:31 · 8 answers · asked by Anonymous in Science & Mathematics Mathematics

8 answers

yes There is a solution

9x - 3 = 48 - 8x

9x - 3 + 8x = 48 - 8x + 8x

17x - 3 = 48

17x - 3 + 3 = 48 + 3

17x = 51

17x/17 = 51/17

x = 51/17

x = 3

Insert the x value into the equation

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9x - 3 = 48 - 8x

9(3) - 3 = 48 - 8(3)

27 - 3 = 48 - 24

24 = 24
- - - - - - - - - s-

2007-02-27 02:04:27 · answer #1 · answered by SAMUEL D 7 · 0 0

Verifying if an answer is correct is important in every problem.

In this case, if you want to check if x=3 is a good answer, you put 3 instead of x everywhere in the equation:

9x means " 9 times x"

9x - 3 = 48 - 8x
(9*3) - 3 = 48 - (8*3)
27 - 3 = 48 - 24
24 = 24
This is true,
therefore 3 is a correct answer.

Sometimes there can be more than one correct answer and you must check them all. However in this case, you are only asked to check one.

(And Anakin_louix is right, there is only one solution for this equation)

2007-02-27 02:02:20 · answer #2 · answered by Raymond 7 · 0 0

9x - 3 = 48 - 8x

9x +8x -3 = 48

17x -= 48 +3

17x = 51

x= 51/17

x=3

2007-02-27 02:03:29 · answer #3 · answered by Anonymous · 0 0

9x-3=48-8x

9x+8x=48+3

17x=51
x=3
yes 3 is the answer

2007-02-27 01:59:08 · answer #4 · answered by Kiran 143 1 · 0 0

The answer is Yes.

you have the equation : 9x - 3 = 48 - 8x

so then : 17x = 51

Then x = 3

The only solution for the equation es 3

2007-02-27 01:56:56 · answer #5 · answered by anakin_louix 6 · 0 0

9x - 3 = 48 - 8x
9x + 8x = 48 + 3
17x = 51
x = 51 / 17
x = ? (I think you should know the answer by now).

2007-02-27 02:04:37 · answer #6 · answered by raylay8 1 · 0 0

put 3 in place of x and check if it satisfies the equation.If it satisfied then yes,otherwise no
9x-3
=9*3-3
=27-3=24
48-8x
=48-8*3
48-24
=24

2007-02-27 01:59:20 · answer #7 · answered by alpha 7 · 0 0

Simply substitute x = 3 on both sides and if you get the same answer on both sides then it is a solution because it satisfies the equation i.e. makes it true!

2007-02-27 01:59:35 · answer #8 · answered by physicist 4 · 0 0

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