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In-s [12.5K]
3 years ago
7

How many solutions are there to the equation below 6x+15=6(x+3)

Mathematics
2 answers:
Shalnov [3]3 years ago
8 0

Answer:

The equation has Zero solution.

Step-by-step explanation:

Consider the provided equation.

6x+15=6(x+3)

Apply the distributive property: a(b+c)=ab+ac

6x+15=6x+18

Now isolate the variables by subtracting 6 from both the sides.

6x+15-6x=6x+18-6x

15=18

Which is not true.

Hence, the equation has no solution or the equation has Zero solution.

cupoosta [38]3 years ago
7 0
6x + 15 = 6 (x + 3)

6x + 15 = 6x + 18

6x = 6x + 3

0 = 3


So, there are no solutions to this equation.
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5 less than twice a number is equal to one half the difference of three times the number and 13. Find the number.
antoniya [11.8K]

Answer:

The number will be -3.

Step-by-step explanation:

Let us assume the number as x.

Given:

⇒ 5 less than twice a number that will be 2x - 5, which is equal to half the difference of three times the number and 13

We have to find the number.

Solution:

The difference of three times the number and 13 could be represented as : 3x - 13

The value be equal to \frac{1}{2} of this 3x - 13 ⇒ \frac{1}{2}  ( 3x - 13 )

As we can see here,

  • That we got a equation ⇒ 2x - 5 = \frac{1}{2}  ( 3x - 13 )

Now, we can solve the above equation:

2x - 5 = \frac{1}{2}  ( 3x - 13 )

We have multiply both sides by 2 ⇒ 4x - 10 = 3x - 13

then, ⇒ x - 10 = -13

   ⇒   x = -3  

Hence we can say that number which was assumed as x will be -3.

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