Phase 4 Systems Review

Front

What is a solution in a system of linear equations?

Back

A solution is a set of values for the variables that makes all equations in the system true.

Front

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

Back

It means the lines represented by the equations are parallel and never intersect.

Front

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

Back

It means the lines represented by the equations are identical, lying on top of each other.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

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.

Front

How can you find the intersection point of two lines?

Back

Set the equations equal to each other and solve for the variable.

Front

What is the graphical representation of a system with one solution?

Back

The graphical representation shows two lines that intersect at exactly one point.

Front

What is the graphical representation of a system with no solution?

Back

The graphical representation shows two parallel lines that never intersect.

Front

What is the graphical representation of a system with infinitely many solutions?

Back

The graphical representation shows two identical lines that overlap completely.

Front

Solve the system of equations: y = 4x + 1 and 3x + 2y = 13.

Back

(1, 5)