3-varaible system

Solve the system and state the solution as an ordered triple.(No spaces in answer)

One week, the music store sold 2 trumpets, 3 clarinets, and 5 violins for $1240. The next week, they sold 3 trumpets,

1 clarinet, and 4 violins for $1,027. The following week, they sold 5 trumpets, 7 clarinets, and 2 violins for $2,091. Find the cost of the trumpet.

• $149

• $174

• $89

One week, the music store sold 2 trumpets, 3 clarinets, and 5 violins for $1240. The next week, they sold 3 trumpets,

1 clarinet, and 4 violins for $1,027. The following week, they sold 5 trumpets, 7 clarinets, and 2 violins for $2,091. Find the cost of the clarinet.

• $149

• $174

• $89

One week, the music store sold 2 trumpets, 3 clarinets, and 5 violins for $1240. The next week, they sold 3 trumpets,

1 clarinet, and 4 violins for $1,027. The following week, they sold 5 trumpets, 7 clarinets, and 2 violins for $2,091. Find the cost of the violin.

• $149

• $174

• $89

• (3,-2, 0)

• Infinite Solutions

• No Solution

• (-4, 3, 1)

• No Solution

• Infinite Solutions

• (2, 4, 6)

• (-1, 0, 8)

The solution of a system of three linear equations in three variables, x,y, and z, is called a(n) ___________________ (x,y,z).

• Ordered Pair
• Integer
• Ordered Triple
• Sum

Tags

CCSS.HSA.REI.C.8

CCSS.HSA.REI.C.9

How would you know a system has no solution?

• You end up with 0=0 at some point.

• The value of one of the variables is 0 (i.e. x=0, y=0, or z=0).

• You end up with a false statement (e.g. 3=5) at some point.

• You end up with fractions at some point.

Tags

CCSS.8.EE.C.8B

Which of the following could be a correct first step in solving the system shown? Select all that apply.

• Multiply the first equation by 2, then add the result to the third equation.

• Multiply the second equation by 2, then add the result to the third equation.

• Add the first and second equation.

• Add the first and third equation.

• Add the second and third equation.

True or false: (2,1,-1) is the solution to the system

• True

• False

Tags

CCSS.HSA.REI.C.6