Solving Systems of Equations

Solve for x and y.
y =  $\frac{2}{3}x-2$ 
y = -x + 3

• (0,3)

• (0,-3)

• (3,0)

• (-3,0)

Solve the system

3x + 2y = 16

7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

What is the solution?

• A
• B
• C
• D

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

The equations of two lines are:
 2x-y=4 and y=-2x+8.
What is the value of x in the solution for this system?

• x=8
• x=3
• x=11
• x=5

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the value of the y-coordinate of the solution to the system of equations 
x-2y=1
x+4y=7 

• 1
• -1
• 3
• 4

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution of the two linear equations shown?

• (2,2)
• (0,0)
• (1,2)
• None of these

Tags

CCSS.8.EE.C.8A

Lesly graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-3,-8)
• (-8,-3)
• (3,-8)
• (8,3)

Tags

CCSS.8.EE.C.8B

Solve the system

8x + 4y = 12

y = -2x + 3

• (0,3)

• (3,0)

• No solution(parallel lines)

• Infinitely many solutions

Given:

2x – y = 17

x – y = 10

Determine if (7,-3) is a solution.

• True

• False, because 2x-7 = 17 is false

• False, because x -7 = 10 is false

• False, because both equations are false

Given the system:

–x + 9y = –5

x –5y = 1

Determine if (-4,1) is a solution.

• False, because –x + 9y = –5 is false

• True

• False, because x -5y = 1 is false

• False, because both equations are false