To graph the system of equations, we can start by rearranging the second equation to isolate k:
l = k + 150
Now we can substitute this expression for l into the first equation:
(k + 150) + k = 900
2k + 150 = 900
2k = 750
k = 375
Now that we know Katie scored 375 points, we can find out how many points Lisa scored:
l = 375 + 150
l = 525
So, Lisa scored 525 points and Katie scored 375 points.
Lisa and Katie are playing a card game, and a total of 900 points has been scored. Lisa scored 150 more points than Katie. If you let l= the number of points that Lisa scored, and k= the number of points that Katie scored, then the problem can be represented by the system:
l+k=900 and l=k+150
Graph the system. How many points did each of them score?
1 answer