Landon and chris are playing a video game. At the end of the game, the boys scored 209 points total. If Landon scored five more than twice the number of points that Chris did, how many points did Landon score?

Respuesta :

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

Learn more about linear equations at:

  • brainly.com/question/1836777
  • brainly.com/question/1859222

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