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GED Systems of Equations! | Get Sum Math | YouTubeToText
YouTube Transcript: GED Systems of Equations!
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In order to solve a system of equations,
you could always stack the two
equations. And then you want to combine
the like terms here. But in the middle,
we get 3 yus 3 y. Those ones are just
going to cancel. And that's always what
you want. You want one of the letters to
disappear cuz then we're going to
combine 4 and 4. So 8x there and 9 and
15, 24 on the right side. And finally,
it's going to be 8 time what will give
you 24? So x right there got to be
three. And then we're done for that problem
there. Sometimes we have to solve for
both letters x and y. That's called an
ordered pair, but you still start the
same way. So in this case, once again,
these y's are going to cancel. Let's get
rid of them. And then we've got 3x + x.
That's just a 1 x there. So 4x and then
12 and 8 20 on the right side. But once
again, 4 * what will give us 20. So x
has to be 5. But because it's an
equation, you could get x by itself.
It's being multiplied by 4. So we'll do
the opposite. Divide by 4. These will
cancel. 20 / 4. That's another way to
get five.
Now, x is always the first number, so it
could be a or it could be b, but let's
get rid of c and d. Then you want to
plug x back into one of the equations.
But the bottom one's nice and easy. So,
let's do that one. If x is 5, then 5 +
what will give us 8? But as we could
see, y has to be three. So, that is the
correct y value or the second number
there. and that's x, that's y. Those
there. Sometimes they'll just give you
one of the answers here. y is -2. That's
the second number. Could be b or could
be c. Let's get rid of the other guys.
Now we want to plug it back in. So we'll
get 5 * -2 on the left side there.
That'll give us -10. And then we want to
find what x could we plug in here to
make the right side
-10. But if we did x is -3, that'll do
it cuz 2 * -3 -6 - 4. That does give
-10. So x is -3. That's always the first
number. And then we knew y was -2. They
just told us. So see that's got the
right stuff there.
And one last
one. Sometimes the variables don't
cancel right away, but imagine if this
one had a three. Then those would cancel
there. That's what we want. So we're
going to multiply the whole second
equation by 3. So just copy the top one.
And then 3 * 2x 6 x 3 * y 3 y. 3 * 5 15
there. But as we said, the y's are going
to cancel. That's what we want. And
combining like terms, we get 10 x 25 and
15, 40. But you know what to do. 10 *
what will give you 40? So x is four. And
that's all for that guy there. So if the
equations don't cancel initially, you
could always multiply by something and
then you could get them to
cancel. Here's a video on solving
equations if you want some more practice
with those. Let me know what questions
and issues you run into. We'll see you
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