1.11 Solving Systems of Equations

Give the solution to the system

• (3,1)
• (1,3)
• (-1,3)
• No solution

Solve for x and y
2x − 3y = −1
 y = x − 1

• (-2,-3)
• (0,-1)
• (3,4)
• (4,3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve for x and y
y = 2x + 1
y = 4x - 1

• (1,3)
• (-1,-3)
• (-1,3)
• (3,1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve:
y = 2x -11
-3y = -6x -15

• (-1.5,-4)
• (1.5,4)
• No solution (parallel lines)
• Infinitely many solutions

Tags

CCSS.8.EE.C.8B

Solve:

8x + 4y = 12

y = -2x + 3

• (0,3)

• (3,0)

• No solution(parallel lines)

• Infinitely many solutions

4x - 2y = 7
 x + 2y = 3
What are x and y?

• x = 2, y = 2
• x = 1/2, y = 2
• x = 2, y = 1/2
• x = 2, y = -2

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

If a system of equations has no solution, what does the graph look like?

• intersecting lines

• parallel lines

• the same line (coinciding lines)

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

• intersecting lines

• parallel lines

• the same line

Write the equation of the line shown in the picture

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

Solve for the solution to the system of equations.

x-y=11

2x+y=19

• (10,-1)

• (-1,10)

• (3,-4)

• (6,7)