00:01
So in this problem, we're working with systems of equations, and we know that we have two separate lines, and we know that the point of intersection will be negative 5 .2.
00:12
When i'm asked to find a problem like this, what i like to do is i like to work in standard form.
00:17
Standard form is a x plus b y is equal to c.
00:21
So what i like to do is for my first equation, i like to pick random values for a and b.
00:26
So i'm going to say 2x plus 3y is equal to c.
00:33
I'm going to have to find the c value that negative 5, 2 would be a solution to.
00:40
So i'm going to substitute negative 5 and 2 into this equation.
00:43
Again, i randomly chose 2 and 3.
00:46
You can choose any numbers, and i'll do that for the next equation as well.
00:50
5 times negative, sorry, 2 times negative 5 plus 3 times 2 will equal c.
00:58
So we know that negative 10 plus 6 will equal c, negative 4 will equal c.
01:04
So one of the equations in the system could be 2x plus 3y equals negative 4...