The values of (a) and (b) are: [tex]a = 51[/tex] and [tex]b = -7[/tex]
The equation is given as:
[tex]4(9x + 11) + 5(3x + b) = ax + 9[/tex]
Expand the bracket
[tex]36x + 44 + 15x + 5b = ax + 9[/tex]
Collect like terms
[tex]36x + 15x+ 44 + 5b = ax + 9[/tex]
Evaluate like terms
[tex]51x+ 44 + 5b = ax + 9[/tex]
Compare both sides of the equation.
So, we have:
[tex]ax = 51x[/tex]
and
[tex]44 + 5b = 9[/tex]
In [tex]ax = 51x[/tex];
Divide both sides of the equations by x
[tex]a = 51[/tex]
In [tex]44 + 5b = 9[/tex],
Collect like terns
[tex]5b = 9 -44[/tex]
[tex]5b = -35[/tex]
Divide both sides of the equations by 5
[tex]b = -7[/tex]
Hence, the values of (a) and (b) are:
[tex]a = 51[/tex] and [tex]b = -7[/tex]
Read more about equation identity at:
https://brainly.com/question/17954964
