Systems of Linear Equations

word problems

We learned that in word problems we must identify the x and y; which in this case is the Balanced Fund & Emerging Markets.

The 1nd Equation: After identifying the x & y we create our equation:  x+y=42000 since the sentence describes it as “invested into two different mutual funds,” as there is 2 different funds containing the the 3/4 x 56000$ it becomes x+y=42000

The 2nd Equation: 0.06x-0.03y=1590 is because x is a gain so it’s positive, the other is a loss but in the end it was a profit.

After completing the equations and solving it, we return to the original to fill in the x and y’s to see if it works. If it ends up the same as the answer then it’s correct.