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3 years ago

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

Mathematics

2 answers:

jonny [76]3 years ago

6 0

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

sweet-ann [11.9K]3 years ago

4 0

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}

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