The units of the initial and final rates of speed are;
<u><em>Initial rate of Speed = ft/hr</em></u>
<u><em>Final rate of speed = mi/min</em></u>
- We are told that the conversion factors he used are;
5280 ft/1 mi and 1 hr/60 min
- Now, the meaning of 5280 ft/1 mi denotes that;
5280 ft mile is equivalent to 1 mile
This means that the initial distance <em>unit </em>used was ft while the final one was mile
Also, 1 hr/60 min denotes that;
1 hour is equivalent to 60 minutes.
This means that the initial time units used was hour while the final one was minute.
- In conclusion, since we know the initial time and distance units used, we can say that the initial rate of speed ft/hr while final speed rate was miles/minutes.
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2x -3y = 13
4x -y = -9
Multiply the second equation by -3 to make the coefficient of Y opposite the first equation.
4x -y = -9 x -3 = -12x + 3y = 27
Now add this to the first equation:
2x -12x = -10x
-3y +3y = 0
13 +27 = 40
Now you have :
-10x = 40
Divide each side by -10:
x = 40 / -10
x = -4
Now you have a value for x, replace that into the first equation and solve for y:
2(-4) - 3y = 13
-8 - 3y = 13
Add 8 to both sides:
-3y = 21
Divide both sides by -3:
y = 21/-3
y = -7
Now you have X = -4 and y = -7
(-4,-7)
