angelorenzo20172007
angelorenzo20172007 angelorenzo20172007
  • 15-11-2020
  • Mathematics
contestada

the expression a(bx + 5) - 2(bx +a) simplifies to 6x + 12 find the value of a and b

Respuesta :

jimrgrant1 jimrgrant1
  • 15-11-2020

Answer:

a = 4, b = 3

Step-by-step explanation:

Expand and simplify the given expression then compare coefficients of like terms.

a(bx + 5) - 2(bx + a)

= abx + 5a - 2bx - 2a

= (ab - 2b)x + 3a

Given that this expression is equal to 6x + 12

Comparing coefficients of like terms.

3a = 12 ( divide both sides by 3 )

a = 4

ab - 2b = 6 , that is

4b - 2b = 6

2b = 6 ( divide both sides by 2 )

b = 3

Thus a = 4 and b = 3

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