Question
1. Write an augmented matrix for the following system of equations. -3x+9=7 5x-6y=1 2. Write an augmented matrix for the following system of equations. 7x-2y+7z=-4
1.Write an augmented matrix for the following system of equations.
-3x+9=7
5x-6y=1
2. Write an augmented matrix for the following system of equations.
7x-2y+7z=-4
8x-4y+z=-2
y-z=-2
3. Write the system of equations associated with the following augmented matrix.(Type equations using x and y as the variables.)
1 0 | 5
0 1 | 6
4.Use the Gauss-Jordan method to solve the following system of equations.
x+y=8
5xx+4y=35
5.Use the Gauss-Jordan method to solve the following system of equations.
6x-5y=7
12x-10y=1
6.Use the Gauss-Jordan method to solve the following system of equations.
4x-5y=7
16x-20y=28
7.Use the Gauss-Jordan method to solve the each system of equations.
4x+4y-4z=4
2x-y+z=5
x-4y+3z=-8
8.Use the Gauss-Jordan method to solve the each system of equations.
3x+8y-z=0
5x-y+3z=1
8x+7y+2z=1
9.Use the Gauss-Jordan method to solve the each system of equations.
7x-3y+3z=5
7x+2y-z=12
35x-10y+11z=32
10.If 30 lb of rice and 20 lb of potatoes cost $18.20, and 20 lb of rice and 12 lb of potatoes cost $11.52, how much will 10 lb of rice and 50 lb of potatoes cost?Let x be the cost of 1 lb of rice and y be the cost of 1 lb of potatoes. Set up two linear equations from the given information using x and y as the variables.
11.A person has $34,000 invested in stock A and stock B. Stock A currently sells for $20 a share and stock B sells for $70 a share. If stock B triples in value and stock A goes up 50%, his stock will be worth $93,000. How many shares of each stock does he own? The person owns ? shares of stock A snd ? shares of stock B?
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