x -y = 1
5x + 3y = 45
Solve the first equation for x: x = y + 1
Substitute x in the second with y + 1
5x + 3y = 45
5(y + 1) + 3y = 45
5y + 5 + 3y = 45
8y + 5 = 45
8y = 40
y = 5
Substitute 5 for y in x = y + 1
x = y + 1
x = 5 + 1
x = 6
Answer: (6, 5)
Answer:
<em>The gold vein is 96 miles away from the farthest gold dust strike.</em>
Step-by-step explanation:
<u>Distance Between two Points in the Plane
</u>
Given two points A(x,y) and B(w,z), the distance between them is:

The prospector positioned the gold vein at (-2,9) and the farthest gold dust strike at (94,9). We are required to calculate the distance between these two points. Use the formula:



The distance is 96 units, but we know each unit on the graph represents 1 mile, thus the gold vein is 96 miles away from the farthest gold dust strike.
1.666666666666667 to be exact, but rounded it is 1.66
Answer:
Please see the attached file for the complete answer.
Step-by-step explanation:
Answer:
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