George and carmen went on a bicycle trip. they took a bus to their starting piont, and then biked the rest. they traveled 275 ki
lometers in totals, and they biked 55 kilometers more than they were bussed. x=kilometers travel by bike and y= kilometers
find how many kilometers they traveled by bike
x + y = 275 (if you travel <em>x</em> km by bike and <em>y </em>km by bus, then you travel 275 km as given in the problem) y = x + 55 (the problem stated that they were bussed (y) the amount they biked plus 55 more km (x + 55))
The second equation is already solved for y. So, we can plug it in to the first equation.
x + (x + 55) = 275 2x + 55 = 275 [combine x terms] 2x = 220 [subtract 55 from both sides] x = 110 [divide by 2 to isolate x and solve for it]
Now we know that x is 110, the distance they traveled by bike. And that's what we needed to answer the problem!
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