Systems of Equations with Graphing & Substitution

What is the solution to this system? 

• (3,1)
• No solution
• Infinite solutions
• (1,3)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

The first step in solving using the substitution method is __________.

• get x by itself
• get y by itself
• get either variable by itself
• add the equations together

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.C.6

Solve the system by substitution. 
-2x - 2y = 16
y = -8

• (0, -8)
• (-8, 0)
• (-16, -8)
• (-16, -8)

Tags

CCSS.HSA.REI.C.6

Solve the system by substitution. 
y = 2x − 11 
2x − 8y = 4 

•  (6, 1)
• (6, −4)
• (6, −1)
• Infinite number of solutions  

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

What is the solution to the system of equations? (use Substitution)
y - 3x = -8
y = 4 - x

• (3,1)
• (-3,1)
• (1,3)
• (3,-1)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

These two lines intersect at _____.

• (4, -2)
• (4, 2)
• (-2, 4) 
• No solution

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

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.HSG.CO.C.9

CCSS.HSG.GPE.B.5

Solve:
x = -3y - 17
2x + 3y = -7

• (1, -20)
• (3, 0)
• (-5, -2)
• (10 , -9)

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

Solve:
y = -1x - 5
4x - 8y = 4

• (-3, -2)
• (5, -7)
• (3, 9)
• (-5, 4)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

How can you tell if a point is a solution to a system?

• It makes the first equation true.
• The (x,y) coordinates satisfy both equations
• It makes logical sense
• It makes neither equation negative

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11