The algebraic form of the statement is b/4 + 7 = 2 and the value of b is -20.
What is the numerical value of the b?
Given the statement; the quotient of a number b and four plus seven is two.
First, we convert the statement into an algebraic equation.
- Quotient of a number b and 4 ⇒ b/4
- Plus 7 ⇒ + 7
- Is two ⇒ = 2
Now, combine the terms and equality sign.
b/4 + 7 = 2
Next, solve for the numerical value of b.
b/4 + 7 = 2
Subtract 7 from both sides
b/4 + 7 - 7 = 2 - 7
Simplify the left-hand side
b/4 = 2 - 7
Subtract 7 from 2
b/4 = -5
Next, multiply both sides by 4
b/4 × 4 = -5 × 4
b = -5 × 4
b = -20
Therefore, the numerical value of b is -20.
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