the result is the same as if the number is multiplied by -7 and 4 is added to the product. What is th number?

Question

If 7 is added to a number and this sum is multiplied by 6, the result is the same as if the number is multiplied by -7 and 4 is added to the product. What is th number?

Answer 1

6(X+7) = -7*X + 4

 

6x + 42 = -7x + 4

 13x + 42 = 4

 

 13x = -38

  x = -38/13

 

 

CHECK:

 6 ( -38/13 + 7) = 6 ( -38/13 + 91/13) = 6 ( 53/13) = 318/13

 

 -7 * (-38/13) + 4 =  266/13 + 4 = 266/13 + 52/13 = 318/13