Systems of Equations Review

Front

What is the solution (x, y) to a system of equations?

Back

The point where the equations intersect.

Front

How do you solve a system of equations by substitution?

Back

Substitute one equation into the other to find the values of x and y.

Front

What is the equation of a line with a slope of 2 and a y-intercept of 3?

Back

y = 2x + 3

Front

What does it mean if two lines are parallel?

Back

They have the same slope and never intersect.

Front

What is the result of a system of equations with no solutions?

Back

The lines are parallel.

Front

What is the graphical representation of a system of equations?

Back

It is represented by the intersection points of the lines on a graph.

Front

What is the method of elimination in solving systems of equations?

Back

Adding or subtracting equations to eliminate one variable.

Front

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

Back

The system has one unique solution.

Front

How can you determine if a system of equations has infinitely many solutions?

Back

If the equations represent the same line.

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.