Solving Linear Systems

Front

What does the graph of a system of equations with no solution look like?

Back

Parallel lines.

Front

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

Back

(-9, 3)

Front

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

Back

(4, -1)

Front

What is the solution to the system of equations: x + y = 0 and x - y = 2?

Back

(1, -1)

Front

What is the solution to the system of equations: 2x + 3y = 6 and 4x + 6y = 12?

Back

Infinitely Many Solutions

Front

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

Back

The equations represent the same line.

Front

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

Back

Intersecting lines.

Front

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

Back

(3, 0)

Front

What is the solution to the system of equations: 5x + 2y = 10 and 5x + 2y = 20?

Back

No solution.

Front

What is the method used to solve a system of equations by substitution?

Back

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