What Type of Solution to Systems of Equations

Front

A System with No Solutions has...

Back

Same Slope; Different y-Intercepts

Front

What is the type of solution to the system of equations? y = 1/4x - 3 y = 2/8x - 3

Back

infinitely many solutions

Front

What is the type of solution to the system of equations? y = -2x - 7 y = -2x + 8

Back

no solution

Front

A system with Infinite Solutions has...

Back

Same Slopes; Same y-Intercepts

Front

What is the slope-intercept form of the equation: -x + y = 3

Back

y = x + 3

Front

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

Back

They have the same slope but different y-intercepts, resulting in no solutions.

Front

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

Back

They have the same slope and the same y-intercept, resulting in infinitely many solutions.

Front

How can you determine if a system of equations has one solution?

Back

If the lines intersect at a single point, they have different slopes.

Front

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

Back

Two parallel lines that never intersect.

Front

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

Back

One line lying on top of another line.