Systems of Equations- Graphing & Substitution

Front

What is a system of equations?

Back

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

Front

What does it mean to solve a system of equations?

Back

Finding the values of the variables that satisfy all equations in the system.

Front

What is the graphical representation of a system of equations?

Back

The point(s) where the graphs of the equations intersect.

Front

What does it mean if two lines are parallel in a system of equations?

Back

The system has no solution because the lines never intersect.

Front

What does it mean if two lines coincide in a system of equations?

Back

The system has infinitely many solutions because the lines are the same.

Front

What is substitution in solving systems of equations?

Back

Replacing one variable with an expression from another equation.

Front

How do you graph a linear equation?

Back

Identify the y-intercept and use the slope to find another point.

Front

What is the y-intercept of the equation y = mx + b?

Back

The value of y when x = 0, represented by b.

Front

What is the slope of a line?

Back

The rate of change of y with respect to x, calculated as rise/run.

Front

Solve the system: y = 2x + 1, y = -x + 4.

Back

(1, 3) is the solution.