Solving 3x3 Systems of Linear Equations
Algebra 2 HS Mathematics Unit: 04 Lesson: 01
Solving 3 x 3 Systems of Linear Equations tudy the situation below. Mary found an online store selling her favorite style of shirt, caph pant, and skirt. She placed three separate online orders: • 2 shirts and 1 pair of capri pants for $40 • One skirt and two pair of capri pant would cost for $32 • One shirt and 2 pair of capri pants for $35 Which item costs the most?
What methods could be used to determine the values of the variables?
The problem can be solved algebraically. Solving 3 x 3 systems of linear equations using substitution
Identify three variables in the problem.
X =
V= z=
Use the first three rows to set up three equations using the variables identified above.
= 40 = 32 = 35
Which two equations contain the same two variables?
©2012, T E S C C C
What are the equations?
04/27/13
page 1 of 4
Solving 3 x 3 Systems of Linear Equations tudy the situation below. Mary found an online store selling her favorite style of shirt, caph pant, and skirt. She placed three separate online orders: • 2 shirts and 1 pair of capri pants for $40 • One skirt and two pair of capri pant would cost for $32 • One shirt and 2 pair of capri pants for $35 Which item costs the most?
What methods could be used to determine the values of the variables?
The problem can be solved algebraically. Solving 3 x 3 systems of linear equations using substitution
Identify three variables in the problem.
X =
V= z=
Use the first three rows to set up three equations using the variables identified above.
= 40 = 32 = 35
Which two equations contain the same two variables?
©2012, T E S C C C
What are the equations?
04/27/13
page 1 of 4
