Kate and Jean paint a house together in 6 days. If they work alone, Kate takes 5 fewer days than Jean would take to do the same job. Which equation represents the time it takes Kate to paint the house by herself?
katework+jeanwork=6 work alone Katework=-5+Jeanwork ad 5 to both sides Katework+5=jeanwork subsitute 5+katework for jeanwork 5+katework+kateworkwork=6 subtract 5 from both sides 2katework=1 divide both sides by 2 katework=0.5days
equation would be jeanwork+katework=6 and katework=jeanwork-5 are the equations