Question

Find the value of the variable such that: the value of 5−a is 20 greater than the value of 6a−1

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Answer 1

The desired value will be the solution to the equation ...

... (5 - a) = 20 + (6a - 1)

... 5 - a = 19 + 6a . . . collect terms

... 5 = 19 + 7a . . . . . . add a

... -14 = 7a . . . . . . . . . subtract 19

... -2 = a . . . . . . . . . . . divide by the coefficient of x

The value of the variable is -2.

Answer 2

The question is an illustration of equivalent expressions.

The value of a for the given condition is -2

From the question, we have:

5 - a is 20 greater than 6a - 1

This means that:

$\mathbf{5 - a = 20 + 6a - 1}$

Collect like terms

$\mathbf{6a + a = 5 - 20 + 1}$

$\mathbf{7a = -14}$

Divide both sides by 7

$\mathbf{a = -2}$

Hence, the value of a is -2

Read more about equivalent expressions at:

https://brainly.com/question/15715866