Annie and Brian traveled 18.3 hours and 1.7 hours respectively
Simultaneous Linear Equations can be solved using one of the following methods :
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 :
[tex]\boxed {A = 5 \times ( B + 2 )}[/tex] → Equation 1
If together they traveled 20 hours , then it could also be written as :
[tex]\boxed {A + B = 20}[/tex]
[tex]5 \times ( B + 2 ) + B = 20[/tex] ← Equation 1
[tex]5B + 10 + B = 20[/tex]
[tex]6B = 20 - 10[/tex]
[tex]6B = 10[/tex]
[tex]B = 10 \div 6[/tex]
[tex]B = \frac{5}{3} ~ hours[/tex]
[tex]\boxed {\boxed {B \approx 1.7 ~ hours} }[/tex]
[tex]A = 5 \times ( \frac{5}{3} + 2 )[/tex]
[tex]A = 5 \times ( \frac{5}{3} + \frac{6}{3} )[/tex]
[tex]A = 5 \times ( \frac{11}{3} )[/tex]
[tex]A = \frac{55}{3} [/tex]
[tex]\boxed {\boxed {A \approx 18.3 ~ hours} }[/tex]
Grade: High School
Subject: Mathematics
Chapter: Simultaneous Linear Equations
Keywords: Elimination , Substitution , Graph , Method , Linear , Equation , Simultaneous
