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Today we are solving systems of linear equations with two variables, in this case using any method.
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This is the system we are given here.
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The first thing i want to do is find out how many solutions they have.
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I will do that by putting them into a slope intercept form.
00:17
So if we look over here at the top one first, we want to first distribute out the three.
00:22
That gives us 3x minus 9y equals 2y.
00:28
Now we want to get the ys to the same side, so we will add 9y to both sides.
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That gives us 3x equals 11.
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Y, divide by 11, gives us y equals 311's x.
00:52
So that is our first equation in slope intercept form.
00:56
We want to do our second one now.
00:59
So we have 2x plus 5 equals 5 minus 7y.
01:06
First thing we want to do is get the whole numbers to the same size, so we'll subtract 5 from both sides.
01:14
If you do that, they both cancel, which gives us 2x equals negative 7y.
01:25
Now divide by negative 7 gives us y equals 2 over...