Q:

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?

Accepted Solution

A:
Landon's score is: 141Step-by-step explanation:Let x be the scores of Landonand Β y be the scores of ChrisThen[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: 141Keywords: Linear equations, VariablesLearn more about linear equations at:brainly.com/question/1836777brainly.com/question/1859222#LearnwithBrainly