Jake has decided to invest in three business ventures. the total cost of investing in all three ventures is $15,000. the combined investment in the first and third ventures is $7,000 more than the investment in the second venture. according to jake's research, his investment in the first venture will triple after three years, and the investments in the other two ventures will double in the same period, making the total value of his investment $39,000. jake's investment in the first venture is $, his investment in the second venture is $, and his investment in the third venture is $. nextreset

X = first venture, y = second venture, z = third venture

x + y + z = 15,000
x + z = y + 7000
3x + 2y + 2z = 39,000
these are ur equations

x + y + z = 15,000
x - y + z = 7000
add
2x + 2z = 22,000

x + y + z = 15,000multiply by -2
3x + 2y + 2z = 39,000

-2x - 2y - 2z = - 30,000 (result of multiplying by -2)
3x + 2y + 2z = 39,000
add
x = 9,000

2x + 2z = 22,000
2(9000) + 2z = 22000
18,000 + 2z = 22000
2z = 22000 - 18000
2z = 4000
z = 4000/2
z = 2,000

x + y + z = 15,000
9000 + y + 2000 = 15,000
11,000 + y = 15,000
y = 15,000 - 11,000
y = 4,000

first venture (x) = 9,000 <==
second venture (y) = 4,000 <==
third venture (z) = 2,000 <==