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
