System of Equations

Front

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

Back

One solution

Front

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

Back

(1, 5)

Front

A system has ____________ when two equations are exactly the same and overlap each other.

Back

Infinitely Many Solutions

Front

How many solutions does the system have if the lines are parallel?

Back

No solution

Front

Which ordered pair represents a solution to both equations: y = 2x + 1 and y = x + 3?

Back

(2, 5)

Front

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

Back

Two intersecting lines.

Front

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

Back

The lines are parallel and never intersect.

Front

If a system has infinitely many solutions, what can be said about the equations?

Back

They are equivalent equations.

Front

Solve the system of equations: 2x + 3y = 6 and x - y = 1.

Back

(3, 0)

Front

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

Back

Solve one equation for one variable.