What is the solution to the system of equations below? x = 5y - 2 AND 3x - 4y = 27 *
1 answer:
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<h2>Hello!</h2>
The answer is:
Ava and Kelly will be 3/4 mile apart after 0.375 hours.
<h2>Why?</h2>To calculate when will Ava and Kelly be 3/4 mile apart, we need to write the equations for both Ava's and Kelly's positions.
Writing the equations we have:
For Ava:
For Kelly:
We need to calculate when Kelly will be 3/4 mile apart becase is running faster than Ava, so, writing the equation we have:
Now, substituting the equation for Ava into the equation for Kelly, we have:
To prove that the result is correct, we just need to substitute the obtained value for time into both equations, so, substutiting we have:
For Ava:
For Kelly:
There is a difference of 0.75 miles or 3/4 mile between Ava and Kelly, so, the obtained value for time is correct.
Therefore, we have that Ava and Kelly will be 3/4 mile apart after 0.375 hours.
Have a nice day!