3B - Solving Linear Systems in Three Variables

Front

Solve the system: 2x + 3y - z = 1, x - y + 2z = 3, 3x + y + z = 4

Back

(2, -2, 3)

Front

Solve the system: x + 2y + 3z = 0, 2x - y + z = 1, -x + 3y - 2z = -3

Back

(-2, -3, 3)

Front

Solve the system: 3x - 2y + z = 5, 2x + y - 3z = -1, x + 4y + 2z = 6

Back

(5, -6, 3)

Front

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

Back

Ordered Triple

Front

Solve the system: x + y + z = 0, 2x - y + z = 1, -x + 2y - z = 2

Back

(-3, 2, -1)

Front

What is the graphical representation of a system of three linear equations in three variables?

Back

A point, line, or plane in three-dimensional space.

Front

What does it mean if a system of equations has no solution?

Back

The equations represent parallel planes that do not intersect.

Tags

CCSS.8.EE.C.8B

Front

What does it mean if a system of equations has infinitely many solutions?

Back

The equations represent the same plane or coincident planes.

Tags

CCSS.8.EE.C.8B

Front

What is the method of substitution in solving linear systems?

Back

Solving one equation for one variable and substituting that expression into the other equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the elimination method in solving linear systems?

Back

Adding or subtracting equations to eliminate a variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6