Question

For what values of a is the value of the binomial 2a−1 smaller than the value of the binomial 7−1.2a by 7?

Answer 1

ANSWER

$a = \frac{5}{16}$

EXPLANATION

We want to find the value of a for which the binomial, 2a-1 is smaller than the value of the binomial 7-1.2a by 7.

This means that, when we subtract 2a-1 from 7-1.2a, we should get 7.

$7 - 1.2a - (2a - 1) = 7$

Expand:

$7 - 1.2a - 2a + 1= 7$

Group similar terms:

$- 1.2a - 2a = 7 - 7 - 1$

$- 3.2a = - 1$

Divide both sides by -3.2,

$a = \frac{ - 1}{ - 3.2}$

$a = \frac{5}{16}$