Solve systems by graphing and 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 by graphing?

Back

It means to draw the equations on a graph and find the point where they intersect.

Front

What is substitution in solving systems of equations?

Back

Substitution is replacing one variable with an expression from another equation.

Front

What is the solution to a system of equations?

Back

The values of the variables that make all equations true.

Front

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

Back

By identifying the point where the two lines cross.

Front

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

Back

It means there is no solution because the lines never intersect.

Front

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

Back

It means there are infinitely many solutions because they overlap completely.

Front

What is the first step in solving a system of equations by substitution?

Back

Solve one of the equations for one variable.

Front

What is the purpose of graphing a system of equations?

Back

To visually represent the equations and find their solutions.

Front

What is the y-intercept of a line?

Back

The point where the line crosses the y-axis.