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Gnesinka [82]
3 years ago
14

Using the problem below, solve and explain how you got the solution to the system of equation.

Mathematics
1 answer:
Paul [167]3 years ago
7 0

Answer:

(5, -3)

y= -3

x= 5

Step-by-step explanation:

-x-2y=1

x+y=2

solve the equation

-x-2y=1

x=2-y

substitute the value of x into an equation

-(2-y)-2y=1

remove parenthesis

-2-y-2y=1

subtract y to 2y

-2-y=1

add 2 from both sides

-y=3

divide both sides by -y

y= -3

substitute the value of y into an equation

x=2-(-3)

remove parenthesis

x=2+3

add 2 to 3

x=5

----------

(5,-3)

----------

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The blue lake trail is 11 3/8 miles long. Gemma has hiked 2 1/2 miles each hour for 3 hours. How far is she from the end of the
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In the question it is given that the length of the blue lake trail is 11 3/8 miles. In the question it is also given that Gemma has hiked for a total time of 3 hours and each hour she has hiked 2 1/2 miles.
Now coming to solving the problem we get:
Total length of blue lake trail = 11 3/8 miles
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Distance hiked by Gemma in 1 hour = 2 1/2 miles
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Then the total distance hiked by Gemma in 3 hours = (5/2) * 3
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The distance left to cover the full trail = (91/8) - (15/2) miles
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So Gemma is 31/8 miles or 3 7/8 miles from the end of the trail.
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