Download ASSN 2.1 Algebra II Name: Solving Systems by Graphing Date

ASSN 2.1
Algebra II
Name:
Solving Systems by Graphing
PART A:
ordered pair.
Date:
Solve the following systems of linear equations by graphing. Write the solution as an
5 x  2 y  10
2 x  y  4
1. 

y





x
      













Verify your solution by plugging the ordered pair
into each equation. Show your work.
2.
xy 2xy1 2

y





      






Verify your solution by plugging the ordered pair
into each equation. Show your work.
x







x  2 y  6
4 x  y  3

3. 
y





x
      













Verify your solution by plugging the ordered pair
into each equation. Show your work.
PART B:
4.

Solve each system of linear inequalities by graphing.
2 x  y  3
y  x4

y





x
      













Are the following ordered pairs solutions to the
system in #4? Write Yes or No in each blank.
A. (2,0) _________ B. (6, -1)________
C. (-1,-3) _______ D. (5,4) ________
 y  12 x  6
x  2 y  6
5. 

y





      






x







Are the following ordered pairs solutions to the
system in #5? Write Yes or No in each blank.
A. (-2,3) _________ B. (4, 1)________
C. (6,5) _______ D. (-4,3) ________
6.
2yy36xx3 10

y





      

x












What do you notice about the solution set in #6?
7. Solve this system of inequalities by graphing.

y


2 x  3 y  9

x  2



      






8. Are the following ordered pairs solutions to this system?
Write Yes or No in each blank.
A. (5, 7) _________
B. (4,  1) ________
C. (4,  1) ________
D. (3, 0) ________
x






