Loan x has a principal of $10,000x and a yearly simple interest rate of 4%. loan y has a principal of $10,000y and a yearly simple interest rate of 8%. loans x and y will be consolidated to form loan z with a principal of $(10,000x 10,000y) and a yearly simple interest rate of r%, where ?

y=32, x=96

Step-by-step explanation:

The complete question in the attached figure

we know that

----> given problem

----> given problem

substitute the value of r in the expression

Simplify the expression

Multiply both sides by (x+y)

So

In the table, just look for two values, one of which is three times the other

Verify each number in the table

1) For y=21 ----> x=3(21)=63

The value of 63 is not in the table

2) For y=32 ----> x=3(32)=96

The value of 96 is in the table

3) For y=51 ----> x=3(51)=153

The value of 153 is not in the table

4) For y=64 ----> x=3(64)=192

The value of 192 is not in the table

5) For y=81 ----> x=3(81)=243

The value of 243 is not in the table

6) For y=96 ----> x=3(96)=288

The value of 288 is not in the table

therefore

y=32, x=96