Solving Systems of Two Linear Equations

Front

What does it mean if a system of linear equations has one solution?

Back

The two lines are intersecting lines.

Tags

CCSS.8.EE.C.8A

Front

What does the graph of a system of equations with no solution look like?

Back

The graph shows parallel lines.

Tags

CCSS.8.EE.C.8A

Front

What are parallel lines in the context of linear equations?

Back

Parallel lines are lines that never intersect and have the same slope.

Front

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

Back

The two lines are coincident lines, meaning they lie on top of each other.

Tags

CCSS.8.EE.C.8A

Front

What are coincident lines?

Back

Coincident lines are lines that overlap completely, representing infinitely many solutions.

Tags

CCSS.8.EE.C.8A

Front

How can you determine if two lines are parallel from their equations?

Back

If the slopes of the two lines are equal and the y-intercepts are different, the lines are parallel.

Tags

CCSS.8.EE.B.6

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis.

Front

How do you solve a system of linear equations using the substitution method?

Back

Solve one equation for one variable and substitute that expression into the other equation.

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Front

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

Back

The elimination method involves adding or subtracting equations to eliminate one variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6