Question

Evan's age is 12 les than three times sams age. The difference between their age is 8. What is the system of linear equations that can be used find the age of both of them?

Answer 1

The system of linear equations to find Evan and Sam's ages is E = 3S - 12 and E - S = 8, which can be solved using substitution or elimination methods.

Step-by-step explanation:

To determine the ages of Evan and Sam, we need to translate the given information into a system of linear equations. The first statement, "Evan's age is 12 less than three times Sam's age," can be written as E = 3S - 12, where E represents Evan's age and S represents Sam's age. The second statement, "The difference between their ages is 8," gives us a second equation, E - S = 8. Combining these two equations provides us with the following system:

• E = 3S - 12
• E - S = 8

To solve for Evan and Sam's ages, we can use methods such as substitution or elimination. This system will yield a unique solution, representing Evan and Sam's respective ages.