<PRE><B>Question 202288</B>
1) Is the ordered pair (- 2, - 5) a solution to the system of equations defined by 3x - 4y = 14 and 5x + 3y = - 25? 
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If y = -5 when x = -2 you would get:
3*-2 - 4*-5 = 14
-6 + 20 = 14
14 = 14
 
and
5*-2 - 3*-5 = -25
-10 + 15 = -25
5 = -25

Answer: No
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2)Create a linear system of two equations that has no solution. 
y = 2x + 3
y = 2x + 5
These are lines with the same slope and different y-intercepts.
The lines are parallel so there is no solution.
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3)Part of a $5000 prize was invested at 6%, while the remainder was invested at 8%. If the total interest received was $368, how much was invested at each rate? 
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interest + interest = interest
0.06x + 0.08(5000-x) = 368
6x + 8(5000-x) = 36800
6x + 40000 - 9x = 36800
-2x = -3200
x = $1600.00 (amt. invested at 6%)
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5000-x = 5000-3200 = $1800 (amt. invested at 8%)
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Cheers,
Stan H.
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