Solving Systems of Linear Equations

Front

The solution (x, y) to a system of equations is the point where they...?

Back

Intersect

Tags

CCSS.8.EE.C.8B

Front

Solve the following systems of equations using substitution: x = 6, y = 2x - 3

Back

(6, 9)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve this system by substitution: y = 4x - 1, 2x + y = 10

Back

(3, 4)

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Front

Parallel Lines never intersect because...

Back

they have the same slopes.

Front

Solve using elimination: -4x - 4y = 0, 4x + 4y = 0

Back

Infinite number of solutions

Tags

CCSS.8.EE.C.8B

Front

What is a system of linear equations?

Back

A set of two or more linear equations with the same variables.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean for a system of equations to be consistent?

Back

It has at least one solution.

Tags

CCSS.8.EE.C.8B

Front

What does it mean for a system of equations to be inconsistent?

Back

It has no solutions.

Tags

CCSS.8.EE.C.8B

Front

What is the graphical representation of a system of equations?

Back

The lines of the equations plotted on a graph.

Tags

CCSS.8.EE.C.8A

Front

What is the substitution method?

Back

A method for solving systems of equations by solving one equation for one variable and substituting that value into the other equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6