Use the lines to decide whether each statement is true or false. Be prepared to explain your reasoning using the lines.

A solution to 8 = -x + 10 is 2.

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Use the lines to decide whether each statement is true or false. Be prepared to explain your reasoning using the lines.

A solution to 8 = -x + 10 is 2.

Explain your reasoning.

Use the lines to decide whether each statement is true or false. Be prepared to explain your reasoning using the lines.

A solution to 2 = 2x + 4 is 8.

A solution to 2 = 2x + 4 is 8.

Explain your reasoning.

A solution to -x + 10 = 2x + 4 is 8.

A solution to -x + 10 = 2x + 4 is 8.

Explain your reasoning.

A solution to -x + 10 = 2x + 4 is 2.

A solution to -x + 10 = 2x + 4 is 2.

Explain your reasoning.

There are no values of x and y that make y = -x + 10 and y = 2x + 4 true at the same time.

There are no values of x and y that make y = -x + 10 and y = 2x + 4 true at the same time.

Explain your reasoning.

Here are three **systems of equations** graphed on a coordinate plane:

Match each figure to one of the systems of equations shown here.

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Match each figure to one of the systems of equations shown here.

Match each figure to one of the systems of equations shown here.

Find the solution to each system and check that your solution is reasonable

based on the graph.

Systems of Equations A

Write your answer in the following format:

(x,y)

with no spaces.

Systems of Equation B.

Write your answer in the following format:

(x,y)

with no spaces.

Systems of Equations C:

Write your answer in the following format:

(x,y)

with no spaces.

Describe what the graph of a system of equations looks like when it has....

**1 solution**

Describe what the graph of a system of equations looks like when it has....

**0 solutions**

Describe what the graph of a system of equations looks like when it has....

**infinitely many solutions**

*Are you ready for more?*

The graphs of the equations and intersect at (2,1).

Find A and B.

Fill in the blank with your answer.

A = ____

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The graphs of the equations and intersect at (2,1). Find A and B.

Fill in the blank with your answer.

B = ____

Show or explain your reasoning.