Solve the system by the elimination method. Enter your answers as a comma separa

Question

Solve the system by the elimination method. Enter your answers as a comma separated list. If the system is inconsistent, enter INCONSISTENT. If the system is dependent, enter DEPENDENT.) {x + y = 6 2x + 3y = 16 Formulate the situation as a system of two linear equations in two variables. Be sure to state clearty the meaning of your x-and x-variables. Solve the system by the elimination method. Be sure to state your final answer In terms of the original question. A lawyer has found 60 investors for a limited partnership to purchase an inner-city apartment building, with each contributing either $6,000 or $12,000. If the partnership raised $408,000, then how many Investors contributed $6,000 and how many contributed $12,000? x = $6,000 investors y = $12,000 investors

Explanation / Answer

17) x+y =6 ----(1)

2x + 3y =16 ----(2)

Substitite value of y from equation 1:

2x + 3(6-x) = 16

2x +18 -3x =16

-x = 16 -18

x = 2

y = 6 -2 = 6- 2 =4

Solution : (x, y) = ( 2, 4)

18) Let x investors contributed $6000

Let y investors contributed $12000

So, x+y = 60 ------(1)

6000x + 12000 = 498000 ----(2)

Solve the equations to get (x, y)

we get x= 37 ; y = 23

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