Question

1. the number a is 5 less than 7 times the number b. the sum of a and b is 14. which of the following pairs of equations could be used to find the values of a and b?

a. $a = 7(b - 5) ; a + b = 14$
b. $a = 5(7 - b) ; a = 14 - b$
c. $a = 7(b - 5) ; a = 14 - b$
d. $a = 7b - 5 ; a + b = 14$

Explanation:

Step1: Translate first condition

"The number a is 5 less than 7 times b" means $a = 7b - 5$.

Step2: Translate second condition

"The sum of a and b is 14" means $a + b = 14$.

Step3: Match to options

Compare the two equations to the given choices.

Answer:

D. $a = 7b - 5 ; a + b = 14$