Question

Help with this homework pls

Answer 1

Answer:

We conclude that:

$b=a-cd;\quad \:c\ne \:0$

Hence, option A is true.

Step-by-step explanation:

Given the expression

$\frac{a-b}{c}=d$

Solving for b

$\frac{a-b}{c}=d$

Multiply both sides by c

$\frac{\left(a-b\right)c}{c}=dc;\quad \:c\ne \:0$

simplify

$a-b=dc;\quad \:c\ne \:0$

Subtract a from both sides

$a-b-a=dc-a;\quad \:c\ne \:0$

Simplify

$-b=dc-a;\quad \:c\ne \:0$

Divide both sides by -1;  c≠0

$\frac{-b}{-1}=\frac{dc}{-1}-\frac{a}{-1};\quad \:c\ne \:0$

simplify

$b=a-cd;\quad \:c\ne \:0$

Therefore, we conclude that:

$b=a-cd;\quad \:c\ne \:0$

Hence, option A is true.