Landon's score is: 141
Step-by-step explanation:
Let x be the scores of Landon
and y be the scores of Chris
Then
[tex]x+y=209\ \ \ \ Eqn 1[/tex]
And
[tex]x=2y+5\ \ \ \ Eqn\ 2[/tex]
Put\ x=2y+5\ in Eqn 1
[tex]2y+5+y=209\\3y+5=209[/tex]
subtracting 5 from both sides
[tex]3y+5-5=209-5\\3y=204[/tex]
Dividing both sides by 3
[tex]\frac{3y}{3} = \frac{204}{3}\\y=68[/tex]
Putting y=68 in equation 2
[tex]x=2(68)+5\\x=136+5\\x=141[/tex]
Landon's score is: 141
Keywords: Linear equations, Variables
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