Michelle has money in two savings accounts. One rate is 6% and the other is 14%
. If she has $900
$
⁢
900
more in the 14%

account and the total interest is $209

, how much is invested in each savings account?

$415 at 6% and $1315 at 14%

Step-by-step explanation:

She has x amount at 6%.

She has y amount at 14%.

y = x + 900

0.06x + 0.14y = 209

Since the first equation is already solved for y, we use the substitution method. Substitute x + 900 for y in the second equation and solve for x.

0.06x + 0.14(x + 900) = 209

0.06x + 0.14x + 126 = 209

0.2x = 83

x = 415

y = x + 900

y = 415 + 900

y = 1315

$415 at 6% and $1315 at 14%

x is variable or an unknown value to find

example:

2x = 5 which means x = 3