I need help on this!!!!! PLEASE!!!!!!
1 answer:
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Answer:
(x, y) = (2, 5)
Step-by-step explanation:
I find it easier to solve equations like this by solving for x' = 1/x and y' = 1/y. The equations then become ...
3x' -y' = 13/10
x' +2y' = 9/10
Adding twice the first equation to the second, we get ...
2(3x' -y') +(x' +2y') = 2(13/10) +(9/10)
7x' = 35/10 . . . . . . simplify
x' = 5/10 = 1/2 . . . . divide by 7
Using the first equation to find y', we have ...
y' = 3x' -13/10 = 3(5/10) -13/10 = 2/10 = 1/5
So, the solution is ...
x = 1/x' = 1/(1/2) = 2
y = 1/y' = 1/(1/5) = 5
(x, y) = (2, 5)
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The attached graph shows the original equations. There are two points of intersection of the curves, one at (0, 0). Of course, both equations are undefined at that point, so each graph will have a "hole" there.
Hello and Good Morning/Afternoon
<u>Let's take this problem step by step</u>:
<u>To find the rate of change is essentially like finding a line's slope</u>:
⇒ the <em>x-values</em> are the <em>number of sodas</em>
⇒ the<em> y-values </em>are the <em>total costs</em>
<em> ⇒ choose</em> two sets of coordinates and find the slope
<u>Let's put that into action</u>
- Choose any two points
⇒ (24, 18)
⇒ (28, 21)
- Calculate Slope
<u>Since the rate of change is total cost over number of sodas</u>
⇒ <em>unit is '</em>total cost/number of sodas'
<u>Answer: 3/4 total cost/number of sodas</u>
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Hope that helps!
#LearnwithBrainly
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