Page 179 - Math Course 2 (Book 1)

Systems of Equations

Your Turn!
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Number of Solutions
Use the graph to determine whether the system
Number of Solutions has no solution, one solution, or inf nitely many
solutions.
2y + 3x = 6
Examples y = x – 1

A. one
Use the graph to determine whether the system has B. no solution
no solution, one solution, or inf nitely many C. inf nitely many
solutions. D. cannot be determined
y = –x + 1
y = –x + 4 Answer
2y + 3x =6
y y
y = –x + 4 y = x + 4

y = –x + 1
x 0 x
0 y = x – 1

Use the graph to determine whether the system
Since the graphs are parallel,
Answer has no solution, one solution, or inf nitely many
there are no solutions.
solutions.
y = x + 4
y = x – 1
Use the graph to determine whether the system has
no solution, one solution, or inf nitely many A. one
solutions. B. no solution
3x – 3y = 9 C. inf nitely many
y = –x + 1 D. cannot be determined

y Answer
3x = –3 = 9

2y + 3x =6
y = –x + 1 y
0 x y = x + 4

x – y = 3

0 x
y = x – 1
Since the graphs are intersecting
Answer
lines, there is one solution.

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