Mathematics

Solve the system of linear equations using the Gauss-Jordan elimination method.
2x + y – 22 = 4
x + By – z = -3
3x + 4y – z = 7

y. a
Solve the system of linear equations using the Gauss-Jordan elimination method.
5x + By = 12
-2x + y = -7
Solve the system of linear equations using the Gauss-Jordan elimination method.
3x + y = 0
-7x – 2y = 1
Formulate a system of equations for the situation below and solve.
A manufacturer of women’s blouses makes three types of blouses: sleeveless, short-sleeve, and long-sleeve. The time (in minutes)

required by each department to produce a dozen blouses of each
type is shown in the following table.
Short- Long-
Sleeveless Sleeve Sleeve

Cutting 9 12 15

Sewing 22 24 28

Packaging 6 8 8
The cutting, sewing, and packaging departments have available a maximum of 81, 164, and 48 labor-hours, respectively, per day. How many

dozens of each type of blouse can be produced each day
if the plant is operated at full capacity?
sleeveless dozen
short-sleeve dozen
long-sleeve dozen

Formulate a system of equations for the situation below and solve.

Cantwell Associates, a real estate developer, is planning to build a new apartment complex consisting of one-bedroom units and two- and

three-bedroom townhouses. A total of 216 units is planned,
and the number of family units (two- and three-bedroom townhouses) will equal the number of one-bedroom units. If the number of one-

bedroom units will be 3 times the number of three-bedroom
units, find how many units of each type will be in the complex.

one-bedroom units units

two-bedroom townhouses units

three-bedroom townhouses units

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