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Answer:
The value of a is 6 and the value of b is -12
Step-by-step explanation:
Given identity is:
a(4x – 10) = 24x + 5b
We can use the comparison of coefficients method to find the values of a and b
So,
By simplifying the left hand side of identity
[tex]4ax-10a = 24x+5b\\4ax+(-10)a = 24x+5b[/tex]
Comparing the co-efficient of x
[tex]4a = 24\\a = \frac{24}{4}\\a = 6[/tex]
Comparing the constant terms
[tex]-10a = 5b[/tex]
Putting the value of a
[tex]-10(6) = 5b\\-60 = 5b\\b = \frac{-60}{5}\\b = -12[/tex]
Hence,
The value of a is 6 and the value of b is -12