Solving Systems by Graphing and Substitution

Front

What is the solution to a system of equations?

Back

The solution is any ordered pair that makes BOTH equations true.

Front

What is the first step in solving a system by Substitution?

Back

Look for an equation that is solved for a variable: x= or y=.

Front

What does it mean for two equations to be consistent?

Back

Two equations are consistent if they have at least one solution.

Front

What does it mean for two equations to be independent?

Back

Two equations are independent if they have exactly one solution.

Front

What does it mean for two equations to be dependent?

Back

Two equations are dependent if they have infinitely many solutions.

Front

How do you graph a linear equation?

Back

You can graph a linear equation by finding two or more points that satisfy the equation and connecting them.

Front

What is slope-intercept form?

Back

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

Front

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

Back

The y-intercept is 3.

Front

How do you find the intersection of two lines on a graph?

Back

The intersection is found at the point where the two lines cross.

Front

What is the substitution method?

Back

The substitution method involves solving one equation for a variable and substituting that expression into the other equation.