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:
Q. 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:
Solve for w: Substitute the second equation into the first to solve for w.Using l=w+4,000, we replace l in the first equation:(w+4,000)+w=20,000
Combine and solve: Combine like terms and solve for w.2w+4,000=20,0002w=20,000−4,0002w=16,000w=16,000/2w=8,000
Find value for l: Now that we have the value for w, plug it back into the second equation to find l. l=w+4,000 l=8,000+4,000 l=12,000
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