guardianneangel
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WILL SOMEONE HELP ME ANSWER THIS PLEASE!!!!

Luca and William are playing a video game and they have scored a total of 20,000 points. Luca scored 4,000 more points than William. If you let l= the number of points that Luca scored, and w= the number of points that William scored, then the problem can be represented by the system:

l+w=20,000 and l=w+4,000

Graph the system. How many points did each boy score?

My possible answers are:
a. William = 8,000 and Luca = 12,000
b. William = 12,000 and Luca = 8,000

d. William = 4,000 and Luca = 16,000

Respuesta :

musiclover10045

l+w=20000

l=w+4000

w+4000+w=20000

2w+4000=20000

2w=16000

w=8000

l = 8000 +4000 = 12000


William scored 8000, Luca scored 12000

irspow
l=w+4000

l+w=20000, using l from above in this equation yields:

(w+4000)+w=20000 combine like terms on left side

2w+4000=20000  subtract 4000 from both sides

2w=16000 divide both sides by 2

w=8000, since l=w+4000

l=8000+4000

l=12000

William=8000 and Luca=12000

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