Let x be the amount invested in the first fund and y be the amount invested in the second fund.

Last your, the interest was $858 so: 0.092x + 0.03y = 942 (1)

This year, the interest was $832 so:

0.10x + 0.01y = 867 2)

Solve by elimination. Here, I will eliminate y first. Multiply (2) by 3 to obtain (3): 0.30x + 0.03y = 2601 3)

Subtract each side of (1) and (3) and solve for x:

0.21x = —1659

\(\displaystyle{x}=—\frac{{1659}}{{-{0.21}}}\)

x=7900

Solve for y using (2): 0.10(7900) + 0.01y = 867

790+0.01y = 867

0.0ly = 77

y= 7700

So, the amounts invested are:

first fund \(\displaystyle—{>}\${7900}\)

second fund \(\displaystyle—\${7700}\)

Last your, the interest was $858 so: 0.092x + 0.03y = 942 (1)

This year, the interest was $832 so:

0.10x + 0.01y = 867 2)

Solve by elimination. Here, I will eliminate y first. Multiply (2) by 3 to obtain (3): 0.30x + 0.03y = 2601 3)

Subtract each side of (1) and (3) and solve for x:

0.21x = —1659

\(\displaystyle{x}=—\frac{{1659}}{{-{0.21}}}\)

x=7900

Solve for y using (2): 0.10(7900) + 0.01y = 867

790+0.01y = 867

0.0ly = 77

y= 7700

So, the amounts invested are:

first fund \(\displaystyle—{>}\${7900}\)

second fund \(\displaystyle—\${7700}\)