Semester Exam Review-Solving Systems of Equations

Front

What is the solution (x, y) to a system of equations?

Back

The point where the lines intersect.

Front

Solve the system of equations: y = 4x + 1 and 3x + 2y = 13.

Back

(1, 5)

Front

What does a system of equations with no solutions look like?

Back

The lines are parallel and do not intersect.

Front

What is the solution to the system of equations: 2x + 3y = 12 and y = 2x - 1?

Back

(3, 2)

Front

Solve the system of equations using substitution: y = 2x + 5 and 2x + 2y = 4.

Back

(-1, 3)

Front

What is a system of equations?

Back

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

Front

What does it mean for a system of equations to be consistent?

Back

It has at least one solution.

Front

What does it mean for a system of equations to be inconsistent?

Back

It has no solutions.

Front

What is the graphical representation of a system of equations?

Back

The lines representing the equations on a coordinate plane.

Front

How can you solve a system of equations graphically?

Back

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