Solving Systems of Equations

Solve by using Addition Method

−4x − 2y = −12

4x + 8y = −24

• (5,6)

• (6,-6)

• (6,-2)

• (4,-3)

Parallel Lines never intersect because...

• they have the same slopes. 
• they have the same y-intercept.
• they have different slopes.
• they have different y-intercepts. 

Tags

CCSS.HSG.CO.A.1

CCSS.4.G.A.1

Steffen graphed two lines in order to find the solution to a given system of equations.

What is the solution? (Hint: Where do the graphs cross? )

• (-3,-8)

• (-8,-3)

• (3,-8)

• (8,3)

What is the solution to the system?

• (3, -1)
• (2, -6)
• No Solution 
• (6, -2)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Use Graph paper to GRAPH The system . Where do the two graphs cross?

• Infinite number of solutions

• (3, 3)

• (3, -3)

• (-3, 3)

Use Graph paper to GRAPH The system . Where do the two graphs cross?

• (-4, 2)

• (4, 2)

• (2, -4)

• (2, 4)

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (0, 1)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.IF.B.4

How many solutions does this system of equations have?

• One Solution
• No solution
• Infinitely Many Solutions
• Two Solutions

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

What is the solution?

• (6, 3)
• (3, 6)
• (-6, 3)
• No solution

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Use the ADDITION METHOD to find the solution.

−6x + 5y = 1

6x + 4y = −10

• (1,-1)

• (0,-1)

• (1,1)

• (-1,-1)