00:01
To solve this problem, we need to set up some equations that relate to the two statements that they give us.
00:07
So the first statement is that two numbers add up to nine.
00:12
So i'm going to call my two numbers x and y.
00:15
And so that means x plus y is equal to nine.
00:18
Now, the second thing they tell us is x times y is 14.
00:25
And so we've translated what they've told us into two equations.
00:29
And now we need to solve these equations for x and y.
00:33
Now the first thing i'm going to do is take the bottom one here and solve it for x.
00:39
And so x is equal to 14 divided by y.
00:44
And i just got that by dividing both sides by y.
00:47
Now that i've solved the bottom one for x, i'm going to plug it in into the top one.
00:53
And so i have x here, but x is equal to 14 over y.
00:59
And then i add y, and that's equal to nine.
01:04
Now that i have that, i have one equation now only in terms of y.
01:08
Can solve it for y.
01:12
But notice that we have a y stuck in the denominator here and we prefer it to not be like that.
01:16
So we need to multiply everything by y to remove the y from the denominator...