Solving Systems of Equations

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 two lines intersect at a point?

Back

The system of equations has one unique solution at that point.

Front

What does it mean if two lines are parallel?

Back

The system of equations has no solution.

Front

What does it mean if two lines coincide?

Back

The system of equations has infinitely many solutions.

Front

How do you find the solution of a system of equations graphically?

Back

By plotting the equations on a graph and identifying the intersection point.

Front

What is the substitution method?

Back

A method for solving systems of equations by solving one equation for one variable and substituting that value into the other equation.

Front

What is the elimination method?

Back

A method for solving systems of equations by adding or subtracting equations to eliminate one variable.

Front

What is the graphical representation of a linear equation?

Back

A straight line on a coordinate plane.

Front

What is the slope of a line?

Back

The rate of change of y with respect to x, often represented as 'm' in the equation y = mx + b.

Front

What is the y-intercept of a line?

Back

The point where the line crosses the y-axis, represented as 'b' in the equation y = mx + b.