A builder is developing a neighborhood of one-bedroom and two-bedroom houses. the builder wants to build 12 houses and can use as many as 88 total
windows. the one-bedroom houses need 6 windows and the two-bedroom houses need 9 windows.
part a
write and solve a system of equations to represent the situation. let 2 represent the number of one-bedroom houses. let y represent the number of two-
bedroom houses. round your answers to the nearest hundredth, if necessary.

A linear or nonlinear system of equations is called consistent if there is at least one set of values for the unknowns that satisfies each equation in the system—that is, when substituted into each of the equations, they make each equation hold true as an identity.

Let x represents the number of one-bedroom houses and y represents the number of two bedroom houses.

According to Question,

Total number of houses is 12 i.e. x + y = 12..........(i)

Total we have 88 windows in which 6 windows can be use in one bedroom house and 9 windows can be used in two bedroom house so,

6x + 9y = 88 ..................(ii)

From Equation (i) and (ii), we get

x = 7 and y = 5

Thus, Builder can build 7 one bedroom houses and 5 two bedroom houses.

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