Systems of Equation Review

Front

What are the three methods we use to solve systems of linear equations?

Back

Graphing, Substitution, Elimination

Front

Solve the system: -4x - 4y = 0 and 4x + 4y = 0

Back

Infinite number of solutions

Front

Solve for x and y: y = 2x + 1 and y = 4x - 1

Back

(1, 3)

Front

How many solutions will this system have? (y = 2x + 1 and y = 2x + 3)

Back

No solution

Front

When you graph the exact same equation twice, what will happen?

Back

You will have infinite solutions.

Front

What is a system of equations?

Back

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

Front

What does it mean if a system has no solution?

Back

The lines representing the equations are parallel and never intersect.

Front

What does it mean if a system has one solution?

Back

The lines intersect at exactly one point.

Front

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

Back

The lines are the same, representing the same equation.

Front

What is the substitution method?

Back

A method where one equation is solved for one variable and substituted into the other equation.