Answered

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Here is an identity.
a(4x – 10) = 24x + 5b
Work out the values of a and b

Sagot :

absor201

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

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