Systems (Elimination)

To find a solution by graphing is to find the point where two lines intersect.

• True
• False

Tags

CCSS.8.EE.C.8B

A system has ____________ when two equations are exactly the same and overlap each other.

• One solution
• No solution
• Infinitely Many Solution

Tags

CCSS.8.EE.C.8A

A system has ____________ when two equations have same slope but different y-intercept and are parallel. 

• One solution
• No solution
• Infinitely Many Solution

Tags

CCSS.8.EE.C.8B

A system has ____________ when two lines intersect at one point. 

• One solution
• No solution
• Infinitely Many Solution

Tags

CCSS.8.EE.C.8A

What would be the first step in solving by elimination?

3x + y = –14

–2x – y = 9

• Add vertically (up and down)

• Multiply equation 1 by 2

• Multiply equation 1 by -2

• Multiply equation 2 by -2

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system of Equation (x,y)
3x + y = –14
–2x – y = 9

• (-5,1)
• (5,-1)
• (1,4)
• (-1,4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What would be the first step in solving by elimination

x + 3y = 18

 –x –4y = –25 

• Multiply equation 2 by 3

• Multiply equation 1 by 4

• Subtract vertically

• Add vertically

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system of Equation (x,y)
x + 3y = 18
 –x –4y = –25 

• (3,7)
• (-3,7)
• (7,-3)
• (-3,-7)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What would be the first step in solving by elimination?

5x + 16y = -16

-9x - 8y = 8

• Multiply equation 1 by 9

• Multiply equation 2 by 2

• Multiply equation 1 by 8

• Multiply equation 2 by -2

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

5x + 16y = -16
-9x - 8y = 8

• (3, 1)
• (3, -1)
• (-3, -1)
• (0, -1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6