Примери коришћења Top equation на Енглеском и њихови преводи на Српски
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So that's the top equation.
So the top equation says x plus 2y is equal to 9.
So let's multiply this top equation by 2.
If I take this top equation and I multiply it by 2, I will get 10x minus 8y is equal to 2, right?
Let's substitute into the top equation.
We're saying, this top equation says, x has to be equal to this.
We can just use that top equation.
Let's multiply the top equation by negative 1 and then add them.
So it does definitely satisfy that top equation.
That's what the top equation becomes.
And let's verify that this satisfies the top equation.
Let me rewrite top equation again.
And then we can substitute it back into this top equation.
So, if we multiply the top equation by 4 we get--.
Now, the easiest way to think about it is we've already solved for y in this top equation.
So let's multiply the top equation by negative 1.
And remember, all we're doing is we're adding the same thing to both sides of this top equation.
Let's multiply this top equation times 5 and see what it looks like.
So let me solve for x using this top equation.
Now, this top equation-- I will write it on the bottom now-- we have 4x minus 2y is equal to positive 5.
So I can multiply this top equation by 7.
Remember, I can do that because I'm essentially adding the same thing to both sides of this top equation.
You give me an arbitrary y, solve for x in the top equation, that x and y will also satisfy the bottom equation. .
Being that the top equation has coefficient values of 1 for each variable, it will be an easy equation to manipulate and use as a cancellation tool.
And you can verify that this works in this top equation right over here.
So anywhere in this top equation where we see an x we say,"Well look, that x by the second constraint has to be equal to y-4.
That was the whole point behind multiplying the top equation by negative 1.
So if we assume x is equal to 4, this top equation tells us y is equal to 4 times x, which in this case is 4, minus 17.5.
So his first equation is actually unchanged from the teacher's equation, is unchanged from the teacher's equation, so any solution that meets both of these equations is for sure gonna meet this top equation because it's literally the same as the top equation of the teacher, so that works out.
So if you take this top equation-- let me write it over here-- so the time babysitting plus the time at the grocery is equal to 19.