Solving Systems of Linear Equations

If a system of equations has infinite solutions, what does the graph look like? 

• lines intersect

• parallel lines

• lines coincide

Tags

CCSS.8.EE.C.8A

Solve the system of equations.
y = 4x+1
3x + 2y = 13

• (1, 5)

• (5, 1)

• (1/4, 2)

• No Solution

Tags

CCSS.8.EE.C.8B

Solve the linear system:

-x + y = -13

-8x - 4y = -8 

• (5, 8)

• (5, -8)

• (-5, -18)

• (-5, 8)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

• yes

• no

What is the x coordinate of the solution to this system of equations? HINT: Graph and use nSolve. Menu 64.

Mathematical Equivalence

ON

Tags

CCSS.8.EE.C.8B

Solve the system.

• (2, -2, 3)

• (2, 1, 4)

• (-2, 2, -3)

• No Solution

Solve the system. 

• (5, -6, 3)

• (2, 3, -1)

• (-4, 2, 5)

• No Solution

Solve the system.

• (1, 2, -2)

• (1, -3, -2)

• (-1, 3, 2)

• No Solution

Solve the system.

• (3, -2, 4)

• (2, -3, 1)

• (-3, 2, -1)

• Infinitely many solutions

Enter the x coordinate of the solution to this system of equations.

HINT: Make sure both equations are in (x + y = #) form. Then do the shortcut.

Mathematical Equivalence

ON

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6