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MArishka [77]
3 years ago
10

What is the solution to the equation -5x + 10 = -13x

Mathematics
2 answers:
Sav [38]3 years ago
5 0
<h2><u>Answ</u><u>er</u><u>:</u><u>-</u></h2>

\red{\bigstar} The Solution of the given equation is \large\leadsto\boxed{\rm\purple{x = \: - 1.25}}

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

<h3>• <u>Given</u><u>:</u><u>-</u></h3>

  • - 5x + 10 = - 13x

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

<h3>• <u>S</u><u>o</u><u>l</u><u>u</u><u>t</u><u>i</u><u>o</u><u>n</u><u>:</u><u>-</u></h3>

➪ \sf - 5x + 10 = - 13x

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ \sf - 5x + 10 + 13x = 0

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ \sf 8x + 10 = 0

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ \sf 8x = - 10

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ \sf x = \dfrac{-10}{8}

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

★ \bold\red{\large{x = - 1.25}}

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

✯ Therefore, the the solution of the given equation is x = - 1.25

Reptile [31]3 years ago
4 0

Answer:

-1.25 =x

Step-by-step explanation:

-5x + 10 = -13x

Add 5x to each side

-5x + 10+5x = -13x+5x

10 = -8x

Divide by -8

10/ -8 = -8x/-8

-5/4 =x

-1.25 =x

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7 0
3 years ago
How many different four-digit numbers can be made using the digits 1,2,3,4,5,6 if no digit can be used more than once?
igomit [66]

Answer:

360

Step-by-step explanation:

The given digits are 1,2,3,4,5,6.

So, total number of digits = 6.

We need to find the number of different ways to form four-digit numbers using the digits, without repetition.

Total ways for first place = 6

After selecting 1 digit the number of remaining digits is 5. So,

Total ways for second place = 5

Similarly,

Total ways for third place = 4

Total ways for forth place = 3

Total number of ways = 6\times 5\times 4\times 3=360

Therefore, 360 four digit numbers are possible.

5 0
3 years ago
The length of a rectangle is 3 cm more than twice the width. The area of the rectangle is 65 square centimeters. Find the dimens
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Answer:

5 cm and 13 cm

Step-by-step explanation:

Let b be the width of the rectangle.

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The area of the rectangle is 65 cm²

We need to find the dimensions of the rectangle. The area of a rectangle is given by :

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65=(3+2b)b\\\\65=3b+2b^2\\\\3b+2b^2-65=0\\\\b=5\ cm,-6.5\ cm

Neglecting the negative value, the width of the rectangle is 5 cm.

Length = 3+2b

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=3+10

=13 cm

Hence, the dimensions of the rectangle are 5 cm and 13 cm.

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