Annie and Brian traveled 18.3 hours and 1.7 hours respectively
Further explanation
Simultaneous Linear Equations can be solved using one of the following methods :
- Elimination Method
- Substitution Method
- Graph Method
Let's try to solve the problem now.
Let :
Annie's number of hours = A
Brian's number of hours = B
If Annie traveled 5 times the sum of the number of hours brian traveled and 2 , then it could be written as :
\(\boxed {A = 5 \times ( B + 2 )}\) → Equation 1
If together they traveled 20 hours , then it could also be written as :
\(\boxed {A + B = 20}\)
\(5 \times ( B + 2 ) + B = 20\) ← Equation 1
\(5B + 10 + B = 20\)
\(6B = 20 - 10\)
\(6B = 10\)
\(B = 10 \div 6\)
\(B = \frac{5}{3} ~ hours\)
\(\boxed {\boxed {B \approx 1.7 ~ hours} }\)
\(A = 5 \times ( \frac{5}{3} + 2 )\)
\(A = 5 \times ( \frac{5}{3} + \frac{6}{3} )\)
\(A = 5 \times ( \frac{11}{3} )\)
\(A = \frac{55}{3}\)
\(\boxed {\boxed {A \approx 18.3 ~ hours} }\)
Learn more
- Perimeter of Rectangle : https://brainly.com/question/12826246
- Elimination Method : https://brainly.com/question/11233927
- Sum of The Ages : https://brainly.com/question/11240586?
Answer details
Grade: High School
Subject: Mathematics
Chapter: Simultaneous Linear Equations
Keywords: Elimination , Substitution , Graph , Method , Linear , Equation , Simultaneous
