Question

find the value of n. 8 (3+5)= (8 x 3)+(8xn)

Answer 1

Answer on Question #43872, Math, Other

Problem. find value of n. 8 (3+5)=(8 × 3)+(8×n).

Solution (Case 1). If symbol “x” denotes product and “8 (3+5)” means 8 × (3 + 5), then equation can be written, as

$$8 \times (3 + 5) = (8 \times 3) + (8 \times n).$$

Then

$$8 \times 8 = 24 + 8 \times n$$

or

$$64 = 24 + 8 \times n$$

or

$$40 = 8 \times n$$

or

$$n = 40 \div 8 = 5.$$

Answer (Case 1): n = 5.

Solution (Case 2). If symbol “x” in the problem denotes variable and “8 (3+5)” means 8 × (3 + 5), then equation can be written, as

$$8 \cdot (3 + 5) = (8 \times 3) + (8 \times n).$$

Then

$$8 \cdot 8 = 24x + 8 \times n$$

or

$$64 - 24x = 8 \times n$$

or

$$n = \frac{64 - 24x}{8x}.$$

Answer (Case 2): n = $\frac{64 - 24x}{8x}$.

www.aAsignmentExpert.com