00:01
The first thing that we need to do for this problem is define our variables.
00:05
So we're looking for the amount that sam invested in the account that earns 6%, and the amount he invested in the account that earns 10%.
00:19
So i'm going to use x to represent the 6 % and y for the 10%.
00:26
So for our first equation, we're going to use the total amount that he invested.
00:32
So however much he put into x plus however much he put into y equals his total investment of 48 ,000.
00:44
For the next equation, we're going to use the interest rates.
00:48
So for the x account, that's 6%.
00:51
So that's 0 .06x.
00:54
And then for the y, we have 0 .10y equals, they tell us that his total interest earned for this was 4 ,000.
01:07
Equals 4 ,000.
01:10
So now we're going to solve this.
01:12
I'm going to use elimination, and i'm going to multiply the top equation by negative 0 .06, and that will cancel out our xes...