System Of Equations Reviw

Front

A system has ____________ when two lines intersect at one point.

Back

One solution

Front

Solve the following system by graphing. What is the solution? (3, -1), (-1, -3), (-1, -1), (-1, 3)

Back

(-1, -1)

Front

Solve for x and y: y = 2x + 1, y = 4x - 1

Back

(1, 3)

Front

What is the solution to this system of equations? Solve by substitution or graphing: 2x + 3y = 6, x - y = 1

Back

(3, 0)

Front

What is the solution to this system? y = 4x + 3, 2x - 3y = 21

Back

(-3, -9)

Front

What does it mean if a system of equations has no solution?

Back

The lines are parallel and never intersect.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

The lines are the same, meaning they overlap completely.

Front

How do you solve a system of equations by substitution?

Back

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

Front

How do you solve a system of equations by graphing?

Back

Graph both equations on the same coordinate plane and identify the point of intersection.

Front

What is the graphical representation of a system with one solution?

Back

Two lines intersecting at a single point.