Simultaneous Linear Equations could be solved by using several methods such as :
If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.
Let us tackle the problem!
Let :
Sara's Distance = s
Eli's Distance = e
Ashely's Distance = a
Hazel's Distance = h
Sara travels twice as far as Eli when going to camp.
[tex]s = 2e[/tex]
Ashley travels as far as Sara and Eli together.
[tex]a = s + e = 2e + e = 3e[/tex]
Hazel travels 3 times as far as Sara.
[tex]h = 3s = 3(2e) = 6e[/tex]
In total, all 4 travel a total of 888 miles to camp.
[tex]s + a + h + e = 888[/tex]
[tex]2e + 3e + 6e + e = 888[/tex]
[tex](2 + 3 + 6 + 1)e = 888[/tex]
[tex]12e = 888[/tex]
[tex]e = 888 \div 12[/tex]
[tex]e = \boxed {74 ~ \texttt{miles}}[/tex]
[tex]s = 2e = 2(74) = \boxed {148 ~ \texttt{miles}}[/tex]
[tex]a = 3e = 3(74) = \boxed {222 ~ \texttt{miles}}[/tex]
[tex]h = 6e = 6(74) = \boxed {444 ~ \texttt{miles}}[/tex]
Grade: High School
Subject: Mathematics
Chapter: Simultaneous Linear Equations
Keywords: Simultaneous , Elimination , Substitution , Method , Linear , Equations
