Question 1

1. Solve x + 3y + z = 1
   2x – y – z = 6
   5x + y + z = 1
   

   		(1, 6, 1)
   		(1, 2, -6)
   		(2, 1, -4)
   		(-1, -2, 6)

2 points

Question 2

1. Solve x + 3y + 4z = 0
   x – 2z = 8
   y + z = 3
   

2 points

Question 3

1. Solve 4x + y + z = 1
   8x – 4y – 7z = 2
   5y – 9z = 3
   

2 points

Question 4

1. Solve x + 2y + z = 5
   2x – y + z = 4
   3x + y + 4z = 1
   

   		(5, 2, -4)
   		(1, 1, 2)
   		(2, 5, -4)
   		(5, 4, 1)

2 points

Question 5

1. Solve 2x – y – z = 3
   4x + y – 2z = 3
   -x + y + z = 1
   

   		(3, 3, 1)
   		(0, -4, 1)
   		(4, -1, 6)
   		(3, 2, 1)

2 points

Question 6

1. Solve –x + 3y + z = 9
   2x + 5y = 27
   3x + y – 2z = -18
   

   		(1, 3, -2)
   		(21, -3, 39)
   		(1, 2, -4)
   		(22, -1, 26)

2 points

Question 7

1. Solve 9x + 5y + 3z = 4
   6x + 2y + 4z = 2
   -3x + 3y – 7z = 2
   

   		(-1, 2, 1)
   		(1, -1, 0)
   		(4, 2, 2)
   		(1, 2, -5)

2 points

Question 8

1. Inher wallet, Ms. Thompson has one-dollar, five-dollar, and ten-dollarbills, totally $171. She has the same number of five-dollar bills asone-dollar and ten-dollar bills put together. If she has 30 bills inall, how many bills of each denomination does she have?
   

   		11 one-dollar bills, 10 five-dollar bills, 9 ten-dollar bills
   		6 one-dollar bills, 17 five-dollar bills, 8 ten-dollar bills
   		11 one-dollar bills, 16 five-dollar bills, 8 ten-dollar bills
   		6 one-dollar bills, 15 five-dollar bills, 9 ten-dollar bills

2 points

Question 9

1. Twicethe first number is eleven more than the sum of the other two numbers.The sum of twice the first number and three times the third number isone more than the second number. The second number is equal to the sumof the first number and the third number. Find the three numbers.
   

   		1st number = -6, 2nd number = 3.5, 3rd number = 2.5
   		1st number = 8, 2nd number = 4, 3rd number = 1
   		1st number = -8, 2nd number = -4, 3rd number = -1
   		1st number = 6, 2nd number = 3.5, 3rd number = -2.5

3 mins ago