if ab + b= a+ 2c, what is the value of b when a=2 and c=3?

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rcmath | High School Teacher | (Level 1) Associate Educator

Posted on

`ab+b=a+2c =>`

`2b+b=2+2*3 =>`

`3b=8=>`

`b=8/3`

 

 

 

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jess1999 | Student, Grade 9 | (Level 1) Valedictorian

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 ab + b= a + 2c      a=2 and c=3

Since we know what " a " equals and what " b " equals we should plug it in

By plugging in the know numbers we should gey

2b + b = 2 + 2 ( 3 ) now multiply 2 with 3 and then add 2 to it

By doing those steps, you should get

2b + b = 8 combine the like terms ( which is 2b and " b " ) 

By combining the like terms, you should get

3b = 8 divide both sides by 8

By dividing, you should get

b = 8/3 which is your answer for " b "

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atyourservice | Student, Grade 11 | (Level 3) Valedictorian

Posted on

ab + b= a+ 2c, what is the value of b when a=2 and c=3

just plug in the numbers as a and c

2b + b = 2 + 2 (3)

simplify:

3b = 8

divide by 3

b = 8/3

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zumba96 | Student, Grade 11 | (Level 3) Valedictorian

Posted on

if ab + b= a+ 2c, what is the value of b when a=2 and c=3?

If you plug in the values,

ab+b=a+2c ---> (2)b+b=2+2(3)

2b+b= 8

3b=8

b=8/3

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Wiggin42 | Student, Undergraduate | (Level 2) Valedictorian

Posted on

ab + b= a+ 2c, what is the value of b when a=2 and c=3

solve for b: 

b (1 + a) = a + 2c (Distributive Property)

solve for b: 

b = ( a + 2c ) / (1 + a)

Plug in our a and c values into this new equation to figure out what b is equal to. 

b = (2 + 6)/ (1 + 2) = 8/3

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