Review Solving Linear Systems by Graphing and Substituion

Find the soultion of the linear system using the substitution method.

y=3x

2x-3y=14

• (-2, -6)

• No Solution

• (-2, 6)

• Infinitely Many Solutions

Solve this system of equations.

y = 2x + 1

y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

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

• intersecting lines

• parallel lines

• just one line

Use the subsitution method to answer the question.

Does the system have one, none or infinite solutions?

8x + 4y = 12

y = -2x + 3

• (0,3)

• (3,0)

• No solution(parallel lines)

• Infinitely many solutions

What is a solution of a linear system?

• the slope of the line

• the y-intercept

• the point where the systems intersect

• the rise over run

What is the solution of a linear system that has parallel lines?

• One Solution

• No Solution

• Many Solutions

What is a solution of a linear system if the lines are the same?

• One Solution

• No Solution

• Many Solutions

Which image shows a system of linear equations with no solutions?

• 
• 
• 

What is the solution to the system?

• (-2, -2)

• (2, -2)

• (-2,2)

• (2, 2)

What is the solution to the system?

• No Solution

• One Solution

• Infinitely Many Solutions

• Two Solutions