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Run time: 02:34
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00:00.0
Ikaw, ako, mayroong lahat. Sabay-sabay lahat sa gay-high.
00:04.0
Ikaw, ako, mayroong lahat. Sabay-sabay lahat sa gay-high.
00:11.0
Okay, class. Ang bago nating aralin ay may kinalaman sa tinalakay natin nitong nakaraang linggo.
00:17.0
Naalala nyo pa ba ito?
00:22.0
Last week, we discussed solving systems of linear equations by graphing.
00:28.0
We know that only one point satisfies the conditions of both equations.
00:34.0
To do that, we graph the two equations on the same coordinate plane.
00:39.0
For example, y minus x equals 3.
00:44.0
x plus 2y equals 0.
00:48.0
Ito ang graph ng y minus x equals 3.
00:53.0
At ito naman ang graph ng x plus 2y equals 0.
00:58.0
And when we combine these graphs in one coordinate plane,
01:02.0
we can determine the point of their intersection.
01:05.0
Because the point of their intersection is negative 2, positive 1,
01:10.0
the solution to this system is x equals negative 2 and y equals positive 1.
01:18.0
And we can check the system.
01:20.0
To do this, we substitute x equals negative 2 and y equals 1 in both equations.
01:28.0
y minus x equals 3.
01:31.0
1 minus negative 2 equals 3.
01:35.0
1 plus 2 equals 3.
01:42.0
x plus 2y equals 0.
01:45.0
Negative 2 plus 2 times 1 equals 0.
01:49.0
Negative 2 plus 2 equals 0.
01:57.0
Therefore, the solution to the system is negative 2, 1.
02:27.0
Thank you for watching!