Answer:
[tex]c=\frac{ab-d}{a}[/tex]
Therefore, the option 'c' is true
Step-by-step explanation:
Given the expression
[tex]a (b - c) = d[/tex]
Let's solve for c
[tex]a (b - c) = d[/tex]
Step 1: Add -ab to both sides
[tex]ab-ac+\left(-ab\right)=d+\left(-ab\right)[/tex]
[tex]-ac=-ab+d[/tex]
Step 2: Divide both sides by -a
[tex]\frac{-ac}{-a}=\frac{-ab+d}{-a}[/tex]
[tex]c=\frac{ab-d}{a}[/tex]
Hence, we conclude that:
[tex]c=\frac{ab-d}{a}[/tex]
Therefore, the option 'c' is true