6x−3y=5 y−2x=8 How many solutions does the system have?
2 answers:
Answer:
no solution.
Step-by-step explanation:
We have been given the system of equations
6x-3y=5...(i)
y-2x=8...(ii)
Write both equations in slope intercept form y = mx +b
For equation (i)
The slope is 2 and the y- intercept is -5/3
For equation (ii)
The slope is 2 and the y-intercept is 8
Since, both the equations have equal slope and different y - intercepts. Hence, the lines are parallel.
Therefore, we can say that the system have no solution.
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The correct statement about the earthquake in the state is option c. State A had approximately 3,362 more earthquakes than State B.
<h3>How to solve for the earthquake in the state A</h3>we have x/y = 0.00299
y = 163696
To solve for x we have
163696 * 0.00299
= 4895 earthquakes
<h3>Next we have to solve for earth quakes in state B</h3>x = 0.1402 x 10931
= 1533
Next we have to find the difference
4895 - 1533 = 3362 earthquakes.
We have to conclude that state A has 3362 earthquakes more than B. Hence the answer is c.
<h3 />Read more on seismic activity here:
brainly.com/question/13017813?referrer=searchResults
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Complete question
The seismic activity density of a region is the ratio of the number of earthquakes during a given time span to the land area affected. The table shows the land area and seismic activity density.
Which statement about the number of earthquakes the states had for the given time span is true?
State A had approximately 1,533 more earthquakes than State B.
State B had approximately 1,533 more earthquakes than State A.
State A had approximately 3,362 more earthquakes than State B.
State B had approximately 3,362 more earthquakes than State A.
