algebra math question

Question

Jorge invested $28,000 into two accounts. The amount he put in his money market account was $2,000 less than twice what he put into a CD.

Answer 1

Money market amount = x

CD amount = y

x + y = 28,000

2y - 2,000 = x

Solve the first equation for y.

x + y = 28,000

y = 28,000 - x

Sub that in for y in the second equation to solve for x.

2y - 2,000 = x

2(28,000 - x) - 2,000 = x

56,000 - 2x - 2,000 = x

54,000 - 2x = x

54,000 = 3x

18,000 = x so $18,000 went to the money market account

Sub in the x value into the other equation to get y.

x + y = 28,000

18,000 + y = 28,000

y = 10,000