Solving Systems of Equations REVIEW

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Front

What does it mean for two lines to intersect?

Back

It means they have exactly one solution, which is the point where they cross.

Front

What is the graphical representation of a system of equations?

Back

It is represented by the lines of the equations on a coordinate plane.

Front

What is the solution to a system of equations?

Back

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

Front

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

Back

It means there is no solution, as the lines never intersect.

Front

What does it mean if two lines are coincident?

Back

It means they have infinite solutions, as they lie on top of each other.

Front

How do you solve a system of equations using substitution?

Back

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

Front

How do you solve a system of equations using elimination?

Back

Add or subtract the equations to eliminate one variable, making it easier to solve for the other.

Front

What is the first step in solving the system 3x + 2y = 16 and 7x + y = 19?

Back

You can use either substitution or elimination; choose one method to start.

Front

What is the solution to the system 3x + 2y = -13 and 3x + 4y = 1?

Back

(-9, 7)