The task is to find one pair (x, y) of values that satisfies both linear equations. Students in the Hamilton High School science club faced this kind of problem when they tried to raise $240 to buy a special eyepiece for the high-powered telescope at their school. The school PTA offered to pay club members for an after-school work project that would clean up a nearby park and recreation center building.

Because the outdoor work was harder and dirtier, the deal with the PTA would pay $16 for each outdoor worker and $10 for each indoor worker. The club had 18 members eager to work on the project. But, most members would prefer the easier indoor work.

The conditions of the science club's situation could be represented by the linear equations like these:

16x + 10y = 240 and x + y = 18

1. What problem condition is supported by each particular equation?

"The equation supports ,
while the equation supports .

2. What are two combinations of numbers for outdoor and indoor workers that will allow the club to earn enough money to by the telescope eyepiece? Will any of those combinations also put every single club member to work?

"One combination that will allow the club to earn enough money is outdoor workers and indoor workers."