Answer:
(x, y) = (0, 1/2) or (1, 3)
Step-by-step explanation:
The first equation factors as ...
x(3x -y) = 0
This has solutions x=0 and y=3x.
__
<u>x = 0</u>
Using this in the second equation gives ...
2y -0 = 1
y = 1/2
(x, y) = (0, 1/2) is a solution
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<u>y = 3x</u>
Using the expression for y in the second equation, we get ...
2(3x) -5x = 1
x = 1 . . . . . . . . . simplify
y = 3x = 3 . . . . using x=1 in the first equation
(x, y) = (1, 3) is a solution
_____
Interestingly, the (red line) graph of 3x^2 -xy = 0 produced by this graphing calculator has a "hole" at x=0, It says that point is (0, undefined). In a sense, y is undefined, in that it can be <em>anything</em>. A more appropriate graph would graph that equation as the two lines x=0 and y=3x.
So,
"double 2"
2(2)
"add 5"
+ 5
Therefore, the whole expression would be:
2(2) + 5
If you wanted to evaluate it, it would come out like this.
4 + 5
9
Answer:
Question A and B are already solved for you in the picture attached.
Step-by-step explanation:
Let
be the number of hours that the waitress works in the evening.
We know for our problem that she works
in the afternoon and that she works <span>1.75 hours less in the afternoon than in the evening, so:
</span>
<span>Since </span>
, we can rewrite our expression:
We can conclude that she works 3.375 hours in the evening, or expressed as a mixed fraction:
hours.
<span>The "unit price" tells gives the cost per pound, quart, or other unit of a food package. If you compare the cost of the same unit of the same food you can save money. </span><span>
Different kinds of discounts will affect differently the total unit price of each size.</span>
