Systems of equations review

If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

What is the solution to the system?

• (0, 3)
• (1, -1)
• (-3, 1)
• (1, 3)

If a system of linear equations has one solution, what does this mean about the two lines? 

• Parallel lines
• the same line 
• Intersecting lines

Which of the following are ways to solve systems of equations? 

• Graphing
• Substitution
• Elimination
• All of the above

How many solutions does this system have?

• One Solution

• Two Solutions

• No Solutions

• Infinite Solutions

How many solutions does this system have?

• One Solution

• Two Solutions

• No Solutions

• Many Solutions

How many solutions does this system have?

• One Solution

• Two Solutions

• No Solutions

• Many Solutions

Given the problem:

y = 2x + 5

3x + 2y = 10

Step 1:

3x + 2(2x + 5) = 10

What is the next step?

• Subtract 3x from both sides

• Distribute 2

• Add 2x and 5

• Subtract 10 from both sides

Given the problem:

y = 3x + 1

y = 5x - 9

Step 1: 3x + 1 = 5x - 9

Step 2: -2x + 1 = 9

Step 3: What is the next step?

• Add 1 to both sides

• Subtract 1 from both sides

• Add 2x to both sides

• Add 9 to both sides

What is the solution?

y= 2x+3

y= -2x-1

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