Question

Help with this homework pls

Answer 1

We conclude that:

`b=a-cd;\quad \:c\\e \:0`

Hence, option A is true.

Explanation:

Given the expression

`(a-b)/(c)=d`

Solving for b

`(a-b)/(c)=d`

Multiply both sides by c

`(\left(a-b\right)c)/(c)=dc;\quad \:c\\e \:0`

simplify

`a-b=dc;\quad \:c\\e \:0`

Subtract a from both sides

`a-b-a=dc-a;\quad \:c\\e \:0`

Simplify

`-b=dc-a;\quad \:c\\e \:0`

Divide both sides by -1; c≠0

`(-b)/(-1)=(dc)/(-1)-(a)/(-1);\quad \:c\\e \:0`

simplify

`b=a-cd;\quad \:c\\e \:0`

Therefore, we conclude that:

`b=a-cd;\quad \:c\\e \:0`

Hence, option A is true.