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 to solve a system of linear equations?

Back

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

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the graphical method for solving systems of linear equations?

Back

Plotting each equation on a graph and identifying the point(s) where they intersect.

Tags

CCSS.8.EE.C.8B

Front

What is the substitution method in solving systems of linear equations?

Back

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

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the elimination method in solving systems of linear equations?

Back

Adding or subtracting equations to eliminate one variable, making it easier to solve for the other.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How do you determine if a system of equations has no solution?

Back

If the lines represented by the equations are parallel and never intersect.

Tags

CCSS.8.EE.C.8A

Front

How do you determine if a system of equations has infinitely many solutions?

Back

If the equations represent the same line, meaning they overlap completely.

Tags

CCSS.8.EE.C.8A

Front

What is the solution to the system of equations: y = -4x + 5 and y = 3x - 16?

Back

(3, -7)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

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

Back

(4, 3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the solution to the system of equations: y = 8x + 1 and y = 6x + 3?

Back

(1, 9)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6