Problems for Practice (optional)

What is the solution to the systems of equations shown above?

What is the solution to the systems of equations shown above?

Which set of equations would have infinitely many solutions?

Is (2, 3) a solution to the system of equations below? Show Work AND Explain your answer.

x + y = 5

-2x + 3y = 9

Solve the system of equations. Show all work.

y = 2x - 4

x = 5

Solve the system of equations. Show all work.

2x + 3y = 10

y = 4

Solve the system of equations. Show all work.

x + 2y = 14

y = 3x - 7

Solve the system of equations. Show all work.

4x + 2y = -18

x = y + 3

Solve the system of equations. Show all work.

y = 4x + 3

y = -x - 2

Is there a solution? If so, what type? Is this consistent or inconsistent?

Is there a solution? If so, what type? Is this consistent or inconsistent? When graphed together, what type of lines are these?

Is there a solution? If so, what type of solution? Is this consistent or inconsistent?

What is a characteristic of a no solution linear system of equations?

Solve using elimination:

Solve by elimination:

−6x + 6y = 0

9x − 8y = 4

y = 2x + 11

y = -3x + 1