RDKnight118
RDKnight118 RDKnight118
  • 03-10-2019
  • Mathematics
contestada

What is the value of x?

x−3/7=4

Must enter answer in simplest form

x = ?

Respuesta :

zrh2sfo
zrh2sfo zrh2sfo
  • 03-10-2019

Answer:

x = 31/7

Step-by-step explanation:

Solve for x:

x - 3/7 = 4

Put each term in x - 3/7 over the common denominator 7: x - 3/7 = (7 x)/7 - 3/7:

(7 x)/7 - 3/7 = 4

(7 x)/7 - 3/7 = (7 x - 3)/7:

(7 x - 3)/7 = 4

Multiply both sides of (7 x - 3)/7 = 4 by 7:

(7 (7 x - 3))/7 = 7×4

(7 (7 x - 3))/7 = 7/7×(7 x - 3) = 7 x - 3:

7 x - 3 = 7×4

7×4 = 28:

7 x - 3 = 28

Add 3 to both sides:

7 x + (3 - 3) = 3 + 28

3 - 3 = 0:

7 x = 28 + 3

28 + 3 = 31:

7 x = 31

Divide both sides of 7 x = 31 by 7:

(7 x)/7 = 31/7

7/7 = 1:

Answer:  x = 31/7

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