Identifying Solutions to Systems on a Graph

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

Will the solution (-3, -7) make the following system of equations a true statement? 
y = 4x + 5
y = x – 4

• YES

• NO

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

• yes

• no

Identify the solution for the system of equations.

• (1, -2)

• (-1, 2)

• (-1, -2)

• (1, 2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Identify the solution for the system of equations.

• (3, 1)

• (1, 3)

• (-1, -3)

• (-3, -1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Is (1,7) a solution for y=3x+4 y=x+6

• yes

• no

Is the ordered pair (2,1) a solution to the system?

• Yes

• No

y = 2/3x - 2
y = -x + 3

• (0,3)

• (0,-3)

• (3,0)

• (-3,0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve:
y=8x+1
y=6x+3

• (1, 9)

• (4, 14)

• (0, 1)

• (2, 4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Is the point (2, -1) a solution to the systems of equations below?

• Yes

• No