(17) Solving Systems of Linear Equations by Graphing (8th)

What is the first step in solving a system by graphing?

• Write both linear equations in slope-intercept form

• Get x by itself

• Compare the slopes of both equations

• Write both equations in standard form

Tags

CCSS.8.EE.C.8B

Find the solution:
2x-5y=15
3x+y=31

• (10,1)

• (13, -8)

• (-10,-7)

• No Solution

Tags

CCSS.8.EE.C.8B

• (2, -2)
• (2, 2)
• (-2, 2)
• (-2, -2)

Tags

CCSS.8.EE.C.8B

Solve the system by graphing

Tags

CCSS.8.EE.C.8B

Solve by graphing.
y = 2x + 1
y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

Tags

CCSS.8.EE.C.8B

What is the solution?

(Hint: Both lines are graphed over each other)

• One Solution

• No solution

• Infinitely Many Solutions

• Two Solutions

• Not Enough Information

Tags

CCSS.8.EE.C.8A

What is the solution?

• No solution

• (0, 2)

• (0, -4)

• (3, -3)

Tags

CCSS.8.EE.C.8B

When you graph the exact same equation twice,

• you will have no solution. 

• you will have one solution.

• you will have infinite solutions. 

• you will graph a giraffe. 

Tags

CCSS.8.EE.C.8B

If a system of linear equations has infinitely many solutions, what does this mean about the two lines? 

• Intersecting lines

• Identical line

• Parallel lines

Tags

CCSS.8.EE.C.8A

Which of the following systems of linear equations represent parallel lines?

• y = 2x - 3

  2y = 4x + 6

• y = x + 2

  y = 2x + 1

• y = -3

  x = -4

• y = 2x + 4

  y = 2x + 4

Tags

CCSS.8.EE.C.8B