Question 178482
2a)x + y = 38

=======

 

2b) We have x houses @ $175,000 and y houses @ $200,000, with a total worth of $7,200,000.

 

The equation representing this relationship is,

 

175,000x + 200,000y = 7,200,000

 

simplifying the numbers gives us,

 

175x + 200y = 7,200

7x + 8y = 288

 

Our system of simultaneous equatiuons is,

 

7x + 8y = 288

x + y = 38

 

Multiply the 2nd equation by 7,

 

7x + 8y = 288

7x + 7y = 266

 

eliminate the x by subtracting the 2nd eqn from the 1st.

 

y = 22

=====

x + 22 = 38 (using y = 22)

x = 16