Solving System of Equations

Determine if (4, 1) is a solution for the system of equations. Hint: Plug in 4 for x, and 1 for y.

y = -x + 5

y = 2x - 7

• Yes

• No

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (0, 1)

Tags

CCSS.8.EE.C.8B

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

• It makes the first equation true.

• The (x,y) coordinates satisfy both equations

• It makes logical sense

• It makes neither equation negative

• The ordered pair (x, y) is a point on both lines

Find the solution:
2x-5y=15
3x+y=31

• (10,1)

• (13, -8)

• (-10,-7)

• No Solution

Tags

CCSS.8.EE.C.8B

−6x + 6y = 0

9x − 8y = 4

• (4, −9)

• Infinite number of solutions

• (−9, 4)

• (4, 4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

4x+8y=20
-4x+2y=-30

• (-7,1)

• (2,-5)

• (-2,5)

• (7,-1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

y = x - 2
-2x + 3y = -1

• (5, -3)

• (5, 3)

• (-5, -3)

• (-5, 3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

-4x-2y=-12
4x+8y=-24

• (5,6)

• (6,-6)

• (6,-2)

• (4,-3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

3y - 2x = 0
y = 4x - 1

• (0.3, 0.2)

• (-0.3, -0.2)

• (-0.3, 0.2)

• (0.3, -0.2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

x + 2y = -4
x - 2y = 8

• (2,5)

• (2,-3)

• (2,-2)

• (-3,2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6