Substitution systems

Front

What is a substitution system in algebra?

Back

A method for solving systems of equations by substituting one equation into another.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean to solve a system of equations?

Back

Finding the values of the variables that satisfy all equations in the system simultaneously.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the first step in solving a system of equations using substitution?

Back

Isolate one variable in one of the equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Given the equations x = -2y and 3x + 4y = -8, what is the solution?

Back

(-8, 4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the solution to the system of equations: y = 3x and 12x - 4y = 20?

Back

no solutions

Tags

CCSS.8.EE.C.8B

Front

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

Back

There are an infinite number of points that satisfy all equations, often because the equations represent the same line.

Tags

CCSS.8.EE.C.8B

Front

What is the solution to the system of equations: 2x + 3y = 6 and x - y = 1?

Back

(3, 0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the graphical representation of a system of equations?

Back

The intersection points of the lines representing the equations.

Tags

CCSS.8.EE.C.8A

Front

What does it mean if two lines are parallel in a system of equations?

Back

The system has no solutions because the lines never intersect.

Tags

CCSS.8.EE.C.8A

Front

What is the solution to the system of equations: 4x + 5y = 20 and 2x - y = 3?

Back

(5, 0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6