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svp [43]
3 years ago
5

-2x+6y=6 -7x+8y=-5 Solve for x and y

Mathematics
1 answer:
tangare [24]3 years ago
6 0
-2x+6y=6
-7x+8y=-5

2(7x+8y=-5)
-7(-2x+6y=6)
Distribute
14x+16y=-10
14x-42y=-42
eliminate
-26y=-32
divide
y=1.2

-2x+6(1.2)=6
-2x+7.4=6
subtract 7.4 on both sides
-2x=-1.4
divide
x=0.7

I believe this is right
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Answer both please, the topic is linear inequalities, and please explain it to me.
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<u>Question 1 solution:</u>
You have two unknowns here:

Let the Water current speed = W

Let Rita's average speed = R

We are given <em>two </em>situations, where we can form <em>two equations</em>, and therefore solve for the <em>two unknowns, W, R</em>:

Part 1)  W→ , R←(against current, upstream) 
If Rita is paddling at 2mi/hr against the current, this means that the current is trying to slow her down. If you look at the direction of the water, it is "opposing" Rita, it is "opposite", therefore, our equation must have a negative sign for water<span>:  

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Part 2)  W→ , R<span>→</span>(with current)
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From equation 1, W=R-2, 
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R+(R–2)=3
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R=5/2mi/hr

So when W=0 (still), R=5/2mi/hr

Finding the water speed using the same rearranging and substituting process:

1...               R=2+W
2...  (2+W)+W=3
                 2W=1
                   W=1/2mi/hr
 
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olya-2409 [2.1K]

Answer:

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Step-by-step explanation:

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