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Shkiper50 [21]
3 years ago
11

The sum of the following algebraic expression 2x + 15, 7-8x and 3x - 41 is 30 find the value of x..​

Mathematics
2 answers:
Ksju [112]3 years ago
3 0

\\  \tt  \longmapsto2x + 15 + 7 - 8x + 3x - 41 = 30 \\   \\  \tt  \longmapsto 2x - 8x + 3x + 15 + 7 - 41 = 30 \\  \\  \tt  \longmapsto  - 3x - 19 = 30 \\  \\  \tt  \longmapsto 3x + 19 =  - 30 \\  \\  \tt  \longmapsto 3x =  - 30 -19 \\  \\  \tt  \longmapsto 3x =  - 49 \\  \\  \tt  \longmapsto x = - \frac{49}{3}

andrey2020 [161]3 years ago
3 0

Answer:

Step-by-step explanation:

2x + 15 + 7 - 8x + 3x - 41 = 30

<u>2x  - 8x + 3x</u> +<u> 15 + 7 - 41</u> = 30

Combine like terms

-3x - 19 = 30

Add 19 to both sides

-3x = 30 + 19

-3x = 49

Divide both sides by (-3)

x = 49/-3

x = -16\frac{1}{3}

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3. The sum of two numbers 49. The difference of the two numbers is 15. What is the product of the two numbers?
Alborosie

Lets set the two numbers as 'a' and 'b'

Now let us set up some equations based on the information:

  • sum of two numbers 49 -->  a + b = 49
  • difference of the two numbers is 15 --> a -b =15

Equations

 a + b = 49 -- equation 1

 a - b = 15 -- equation 2

Solve:

 (equation 1) + (equation 2)

    2a = 64

      a = 32 -- equation 3

 (equation 3)'s value of a into (equation 2)

  32 - b = 15

    b = 17

The products of 'a' and 'b' is 544

Hope that helps!

 

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Mathew paid 8.80$

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3 years ago
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