00:01
So here we have a system of equations, 3x plus y equals 5 and 6x minus y equals 4.
00:14
And we want to solve the system of equations using the addition method.
00:20
And you'll see here the addition method is sometimes called the elimination method.
00:25
Because when we add our two equations together, we add the left side of the equation, 3x plus 6x equals 9x.
00:36
But when we add positive y and negative y, they cancel out.
00:41
So we've eliminated one of our variables.
00:45
And then on the right side of the equation, 5 plus 4 is 9.
00:49
So by eliminating one of our variables, we're able to have an equation.
00:55
That is just in terms of x and we can solve for x...