Question 1151971
x = amount invested at 7%.
y = amount invested at 14%.
x + y = 100,000
.07x + .14y = 9100
solve for x in the first equaion to get:
x = 100,000 - y
replace x in the second equation with that to get:
.07 * (100,000 - y) + .14y = 9100
simplify to get:
.07 * 100,000 - .07y + .14y = 9100
simplify further and combine like terms to get:
7000 + .07y = 9100
subtract 7000 from both sides to get:
.07y = 2100
solve for y to get:
y = 2100 /.07 = 30,000
x = 100,000 - y = 70,000
.07 * 70,000 + .14 * 30,000 = 9100
this confirms the values for x and y are correct.
the solution is that 70,000 is invested in 7% account.