Solving systems of equations

Solve the system of equations.

y = 4x+1

3x + 2y = 13

• (1, 5)

• (5, 1)

• (0.25, 2)

• ∅

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the solution to this system of equations?

• (-1, 4)

• (4, -1)

• (-4, 1)

• (-4, -1)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

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.C.7

CCSS.HSA.REI.D.11

Is (1,10) a solution to

y=7x+5

y=x+9

• Yes

• No

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

 

Solve the system of equations

x + 2y = 2

x = -4y + 2

• (-3, 0)

• (-3, -2)

• (0, 2)

• (2, 0)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph

• Don't touch

• Intersect

• Exist

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

 

^{What is the solution to the system?} 

• 1

• -2

• (1, 2)

• (1, -1)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Solve the system of equations:

5x + 3y = 7

y = 4

• (4,1)

• (-1,4)

• (4,-1)

• (1,4)

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.C.6

Solve for the system of equations

y = 2x + 1

y = 4x - 1

• (1,3)

• (-1,3)

• (-1,-3)

• (3,1)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11