Question

Help me solve this equation and show work 11d + 17b = 95 d + b = 7

Answer 1

Answer:

B = 3

d = 4

Step-by-step explanation:

You can use elimination method. Multiply (d + b = 7) by -11.

11d + 17b = 95

-11d - 11b = -77

add together. D’s will cancel

6b = 18

divide by 6

b = 3

plug in 3 for b in the equation of your choice

d + (3) = 7

subtract 3

d = 4

Answer 2

Answer:

{d,b}={4,3}

Step-by-step explanation:

[1]    11d + 17b = 95

  [2]    d + b = 7

Graphic Representation of the Equations :

   17b + 11d = 95        b + d = 7  

 

Solve by Substitution :

// Solve equation [2] for the variable  b

 [2]    b = -d + 7

// Plug this in for variable  b  in equation [1]

  [1]    11d + 17•(-d +7) = 95

  [1]    -6d = -24

// Solve equation [1] for the variable  d

  [1]    6d = 24

  [1]    d = 4

// By now we know this much :

   d = 4

   b = -d+7

// Use the  d  value to solve for  b

   b = -(4)+7 = 3

Solution :

{d,b} = {4,3}