Solving Systems

What does it mean to "solve a system"?

• Find the point that satisfies one of the equations.

• Find the point that satisfies all of the equations.

• Rewrite the equations in "y=" form.

• Rewrite the equations in standard form.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

The solution to a system of equations is any ordered pair that makes both equations true. 

• TRUE
• FALSE

Tags

CCSS.HSA.REI.C.9

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)

Tags

CCSS.8.EE.C.8A

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

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

Tags

CCSS.8.EE.C.8A

If a system of linear equations has infinite solutions, which of the following is NOT true?

• The graph forms the same line.

• The lines do not intersect.

• The lines have the same slope.

• The lines have the same y-intercept.

Tags

CCSS.8.EE.C.8A

Solve with substitution

x = -3y - 8

x - 2y = -3

• (5, -1)

• (-5, 1)

• (-5,-1)

• (1,-5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)
• (-2,-5)
• (2,-5)
• (2,5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Find the solution to this system of equations.

8x + 4y = 12

2x + y = 3

• (0,3)

• (3,0)

• No solution

• Infinitely many solutions

Tags

CCSS.8.EE.C.8B

Solve by elimination 
-2x + 6y = 16
-4x  - 3y = 2

• (2,2)
• (-2, -2) 
• (-2,2)
• (2,1)

Solve using elimination. 
 4x + 8y = 20
-4x + 2y = -30

• (-7,1)
• (2,-5)
• (-2,5)
• (7,-1)