System of Linear Equations

Front

What is a system of linear equations?

Back

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

Front

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

Back

The lines representing the equations intersect at exactly one point.

Front

What does it mean for a system of linear equations to have infinitely many solutions?

Back

The lines representing the equations coincide, meaning they are the same line.

Front

What does it mean for a system of linear equations to have no solution?

Back

The lines representing the equations are parallel and never intersect.

Front

What is the y-intercept of the line y = 3x + 2?

Back

2

Front

How can you identify a system of equations with no solution graphically?

Back

The graph will show parallel lines.

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

3

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are constants.

Front

What is the graphical representation of the equation y = mx + b?

Back

A straight line with slope m and y-intercept b.

Front

How do you solve a system of linear equations using substitution?

Back

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