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 represented by the equations are parallel and never intersect.

Front

What does it mean if a system of equations has an infinite number of solutions?

Back

The equations represent the same line, meaning every point on the line is a solution.

Front

How do you solve a system of equations by elimination?

Back

You manipulate the equations to eliminate one variable, allowing you to solve for the other.

Front

What is the graphical representation of a system of equations?

Back

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

Front

What does it mean if two lines intersect at one point?

Back

The system of equations has one unique solution.

Front

What is the substitution method in solving systems of equations?

Back

You solve one equation for one variable and substitute that expression into the other equation.

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 determine if two lines are parallel?

Back

If they have the same slope but different y-intercepts, they are parallel.

Front

What is the point of intersection of the lines x + 6y = 1 and 3x - 2y = 3?

Back

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