Question

Literal equations a=b(c+d), solve for b.

a) b=a/c+d
b) b=a−c−d
c) b=a/(c+d)
d) b=ac+ad

Answer 1

To solve the equation a=b(c+d) for b, you need to isolate b on one side of the equation. The solution is b=a/(c+d), which is option c.

Step-by-step explanation:

To solve the literal equation a = b(c + d) for b, you need to isolate the variable b on one side of the equation. This can be done by dividing both sides of the equation by (c + d). Here is a step-by-step breakdown:

1. Start with the original equation: a = b(c + d).
2. Distribute the 'b' to both terms inside the parentheses: a=bc+bd
3. Combine like terms: a=bd+bc
4. Factor out 'b': a=b(c+d)
5. Divide both sides of the equation by (c + d) to isolate b: b = a / (c + d).

Therefore, the correct answer is c) b = a / (c + d).