Systems of Equations REVIEW

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Front

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

Back

The lines representing the equations are parallel and never intersect.

Front

What is the elimination method in solving systems of equations?

Back

A method where you add or subtract equations to eliminate one variable, making it easier to solve for the other.

Front

What is the substitution method in solving systems of equations?

Back

A method where you solve one equation for one variable and substitute that expression into the other equation.

Front

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

Back

The equations represent the same line, meaning they intersect at every point on that line.

Front

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

Back

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

Front

What is the graphical representation of a system of equations?

Back

The solution is the point(s) where the lines intersect on a graph.

Front

What is the first step in solving the system of equations: y = 2x + 3 and 4x - y = 1?

Back

You can use substitution by substituting y in the second equation with 2x + 3.

Front

What is the solution to the system of equations: 2x + 3y = 6 and x - y = 1?

Back

(3, 0) is the solution.

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are integers and A is non-negative.