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The U-Drive Rent-A-Truck company plans to spend $10 million on 260 new vehicles. Each commercial van will cost $25,000, each small truck $50,000, and each large truck $50,000. Past experience shows that they need twice as many vans as small trucks. How many of each type of vehicle can they buy?
They can buy ____ vans, ___ small trucks, and ____ large trucks.
Use row operations to solve the system.
x + y – z = 5
2x – y + z = -11
x – 4 + 3z = -41
A. The system has exactly one solution. The solution is : (____, _____, _____) (write an exact answer in a simplified form).
B. This system has infinitely many solutions of the form (__, ___, z), where z is any real number. (type expressions using z as the variable)
C. This system has no solution.
The reduced row echelon form of the augmented matrix of a system of equations is given. Find the solutions of the system.
1 0 0 4 14
0 1 0 3 -7
0 0 1 0 -8
0 0 0 0 0
Enter the solutions of the system below. Use w for the parameter.
x=
y=
z=
w is a real number.
Use the specified row transformation to change the matrix.
Replace R2 with 7R1 + R2
1 4 8
-7 2 -1
6 7 0
What is the transformed matrix?
1 4 8
_ _ _
6 7 0
(fill in the second row)
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