Linear Systems Review

Front

If two lines are the SAME, the system has...

Back

Infinite solutions

Front

Which method would work best for the system: y - x = 12 and y = 2x?

Back

Substitution

Front

True or False: The point where two lines touch is a solution to a linear system.

Back

TRUE

Front

Which method would work best for the system: y = 2x - 2 and y = 3x + 4?

Back

Substitution

Front

If two lines never touch, the system has...

Back

No solutions

Front

What is a linear system?

Back

A set of two or more linear equations with the same variables.

Front

What does it mean for a system to have one solution?

Back

The lines intersect at exactly one point.

Front

What is the elimination method?

Back

A method for solving linear systems by adding or subtracting equations to eliminate a variable.

Front

What is the substitution method?

Back

A method for solving linear systems by solving one equation for a variable and substituting that expression into another equation.

Front

What does it mean for two lines to be parallel?

Back

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