Write a system of equations

Question

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

An employee at a construction company is ordering interior doors for some new houses that are being built. There are 3 one-story houses and 6 two-story houses on the west side of the street, which require a total of 93 doors. On the east side, there are 8 one-story houses and 2 two-story houses, which require a total of 94 doors. Assuming that the floor plans for the one-story houses are identical and so are the two-story houses, how many doors does each type of house have?

Each one-story house has___  doors, and each two-story house has___  doors.

Answer 1

3x+6y=93

8x+2y=94 multiply this equation by 3 to get y values equal

24x+6y=282

subtract - (3x+6y=93)

21x =189

x = 9

so lets figure out y:

3(9)+6y=93

27+6y=93

6y=66

y=11

One story houses have 9 doors; two story houses have 11 doors.